130:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 4:@0.293660:0.136836:0.369443:0.136836:0.369443:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 8 27 . Es una diferencia de cubos. Cada término tiene raíz cúbica exacta. :@0.293660:0.171340:0.931802:0.171347:0.931802:0.154913:0.293660:0.154906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.371560:0.171340:0.379015:0.171340:0.379015:0.154934:0.371560:0.154934:0.000000 3:@0.378979:0.165283:0.384216:0.165283:0.384216:0.155702:0.378979:0.155702:0.000000 2:@0.388591:0.170792:0.403925:0.170792:0.403925:0.157076:0.388591:0.157076:0.000000 y:@0.426161:0.171347:0.433634:0.171347:0.433634:0.154941:0.426161:0.154941:0.000000 3:@0.433594:0.165283:0.438831:0.165283:0.438831:0.155702:0.433594:0.155702:0.000000 La factorización es 8 27 (2 3 )(4 6 9 ):@0.293665:0.187988:0.716739:0.187988:0.716739:0.171555:0.293665:0.171555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.439303:0.187988:0.446758:0.187988:0.446758:0.171582:0.439303:0.171582:0.000000 3:@0.446686:0.181925:0.451923:0.181925:0.451923:0.172344:0.446686:0.172344:0.000000 2:@0.455835:0.187434:0.471168:0.187434:0.471168:0.173718:0.455835:0.173718:0.000000 y:@0.492833:0.187988:0.500307:0.187988:0.500307:0.171582:0.492833:0.171582:0.000000 3:@0.500231:0.181925:0.505468:0.181925:0.505468:0.172344:0.500231:0.172344:0.000000 5:@0.509378:0.187434:0.524711:0.187434:0.524711:0.173718:0.509378:0.173718:0.000000 x:@0.542272:0.187988:0.549727:0.187988:0.549727:0.171582:0.542272:0.171582:0.000000 2:@0.553611:0.187434:0.568944:0.187434:0.568944:0.173718:0.553611:0.173718:0.000000 y:@0.581700:0.187988:0.589174:0.187988:0.589174:0.171582:0.581700:0.171582:0.000000 x:@0.607599:0.187988:0.615054:0.187988:0.615054:0.171582:0.607599:0.171582:0.000000 2:@0.614987:0.181925:0.620224:0.181925:0.620224:0.172344:0.614987:0.172344:0.000000 1:@0.624136:0.187434:0.639469:0.187434:0.639469:0.173718:0.624136:0.173718:0.000000 xy:@0.652225:0.187988:0.667282:0.187988:0.667282:0.171582:0.652225:0.171582:0.000000:0.000000 1:@0.671185:0.187434:0.686518:0.187434:0.686518:0.173718:0.671185:0.173718:0.000000 y:@0.699274:0.187988:0.706747:0.187988:0.706747:0.171582:0.699274:0.171582:0.000000 2:@0.706672:0.181925:0.711909:0.181925:0.711909:0.172344:0.706672:0.172344:0.000000 Ejemplo 5:@0.293667:0.222492:0.369449:0.222492:0.369449:0.205823:0.293667:0.205823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 64 125 . Es una suma de cubos. Cada término tiene raíz cúbica exacta. La :@0.293667:0.256997:0.931828:0.257010:0.931828:0.240577:0.293667:0.240563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.379758:0.256997:0.387212:0.256997:0.387212:0.240590:0.379758:0.240590:0.000000 6:@0.387142:0.250947:0.392379:0.250947:0.392379:0.241366:0.387142:0.241366:0.000000 1:@0.396418:0.256456:0.411751:0.256456:0.411751:0.242740:0.396418:0.242740:0.000000 y:@0.442454:0.257010:0.449928:0.257010:0.449928:0.240604:0.442454:0.240604:0.000000 9:@0.449872:0.250947:0.455109:0.250947:0.455109:0.241366:0.449872:0.241366:0.000000 factorización es 64 125 (4 5 )(16 20:@0.293667:0.273652:0.677920:0.273652:0.677920:0.257218:0.293667:0.257218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.427819:0.273652:0.435274:0.273652:0.435274:0.257246:0.427819:0.257246:0.000000 6:@0.435197:0.267588:0.440434:0.267588:0.440434:0.258007:0.435197:0.258007:0.000000 1:@0.444344:0.273098:0.459677:0.273098:0.459677:0.259382:0.444344:0.259382:0.000000 y:@0.490233:0.273652:0.497706:0.273652:0.497706:0.257246:0.490233:0.257246:0.000000 9:@0.497643:0.267588:0.502879:0.267588:0.502879:0.258007:0.497643:0.258007:0.000000 5:@0.506789:0.273098:0.522123:0.273098:0.522123:0.259382:0.506789:0.259382:0.000000 x:@0.539683:0.273652:0.547138:0.273652:0.547138:0.257246:0.539683:0.257246:0.000000 2:@0.547063:0.267588:0.552300:0.267588:0.552300:0.258007:0.547063:0.258007:0.000000 1:@0.556209:0.273098:0.571543:0.273098:0.571543:0.259382:0.556209:0.259382:0.000000 y:@0.584299:0.273652:0.591772:0.273652:0.591772:0.257246:0.584299:0.257246:0.000000 3:@0.591704:0.267588:0.596941:0.267588:0.596941:0.258007:0.591704:0.258007:0.000000 x:@0.624285:0.273652:0.631739:0.273652:0.631739:0.257246:0.624285:0.257246:0.000000 4:@0.631681:0.267588:0.636918:0.267588:0.636918:0.258007:0.631681:0.258007:0.000000 2:@0.640829:0.273098:0.656163:0.273098:0.656163:0.259382:0.640829:0.259382:0.000000 x y:@0.677828:0.273652:0.697870:0.273652:0.697870:0.257246:0.677828:0.257246:0.000000:0.000000:0.000000 2 3:@0.685206:0.267588:0.703040:0.267588:0.703040:0.258007:0.685206:0.258007:0.000000:0.000000:0.000000 25 ):@0.702994:0.273652:0.761415:0.273652:0.761415:0.257218:0.702994:0.257218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.706951:0.273098:0.722285:0.273098:0.722285:0.259382:0.706951:0.259382:0.000000 y:@0.743950:0.273652:0.751423:0.273652:0.751423:0.257246:0.743950:0.257246:0.000000 6:@0.751346:0.267588:0.756583:0.267588:0.756583:0.258007:0.751346:0.258007:0.000000 Ejemplo 6:@0.293668:0.308156:0.369451:0.308156:0.369451:0.291487:0.293668:0.291487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza :@0.293668:0.342660:0.361138:0.342660:0.361138:0.326227:0.293668:0.326227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.360560:0.342660:0.368015:0.342660:0.368015:0.326254:0.360560:0.326254:0.000000 5 :@0.367870:0.336609:0.375360:0.336609:0.375360:0.327028:0.367870:0.327028:0.000000:0.000000 2:@0.375020:0.342118:0.390353:0.342118:0.390353:0.328403:0.375020:0.328403:0.000000 :@0.390166:0.336609:0.392516:0.336609:0.392516:0.327028:0.390166:0.327028:0.000000 32. Se puede expresar como 2 . Es decir, es una diferencia de potencias :@0.392176:0.342673:0.931504:0.342673:0.931504:0.326239:0.392176:0.326239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.596993:0.342673:0.604448:0.342673:0.604448:0.326267:0.596993:0.326267:0.000000 5:@0.604311:0.336609:0.609548:0.336609:0.609548:0.327028:0.604311:0.327028:0.000000 2:@0.612894:0.342118:0.628227:0.342118:0.628227:0.328403:0.612894:0.328403:0.000000 5:@0.640311:0.336609:0.645547:0.336609:0.645547:0.327028:0.640311:0.327028:0.000000 impares iguales. Se puede factorizar como::@0.293652:0.359315:0.602907:0.359315:0.602907:0.342881:0.293652:0.342881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.319035:0.393819:0.326490:0.393819:0.326490:0.377413:0.319035:0.377413:0.000000 5:@0.326423:0.387761:0.331660:0.387761:0.331660:0.378180:0.326423:0.378180:0.000000 2 ( 2)( 2 2 2 +2 ) ( 2)( 2 4 ^ 8 16):@0.331613:0.393825:0.902196:0.393825:0.902196:0.377391:0.331613:0.377391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.335570:0.393270:0.350903:0.393270:0.350903:0.379555:0.335570:0.379555:0.000000 5:@0.363658:0.387761:0.368895:0.387761:0.368895:0.378180:0.363658:0.378180:0.000000 5:@0.372805:0.393270:0.388138:0.393270:0.388138:0.379555:0.372805:0.379555:0.000000 x:@0.396789:0.393825:0.404244:0.393825:0.404244:0.377419:0.396789:0.377419:0.000000 2:@0.408128:0.393270:0.423461:0.393270:0.423461:0.379555:0.408128:0.379555:0.000000 x:@0.445808:0.393825:0.453263:0.393825:0.453263:0.377419:0.445808:0.377419:0.000000 4:@0.453204:0.387761:0.458441:0.387761:0.458441:0.378180:0.453204:0.378180:0.000000 1:@0.462351:0.393270:0.477684:0.393270:0.477684:0.379555:0.462351:0.379555:0.000000 x:@0.481550:0.393825:0.489005:0.393825:0.489005:0.377419:0.481550:0.377419:0.000000 3:@0.488924:0.387761:0.494161:0.387761:0.494161:0.378180:0.488924:0.378180:0.000000 1:@0.506963:0.393270:0.522297:0.393270:0.522297:0.379555:0.506963:0.379555:0.000000 x:@0.526162:0.393825:0.533617:0.393825:0.533617:0.377419:0.526162:0.377419:0.000000 2 2:@0.533548:0.387761:0.552877:0.387761:0.552877:0.378180:0.533548:0.378180:0.000000:0.000000:0.000000 1:@0.556787:0.393270:0.572120:0.393270:0.572120:0.379555:0.556787:0.379555:0.000000 x:@0.575986:0.393825:0.583440:0.393825:0.583440:0.377419:0.575986:0.377419:0.000000 3:@0.592263:0.387761:0.597499:0.387761:0.597499:0.378180:0.592263:0.378180:0.000000 4:@0.617245:0.387761:0.622481:0.387761:0.622481:0.378180:0.617245:0.378180:0.000000 5:@0.631182:0.393270:0.646515:0.393270:0.646515:0.379555:0.631182:0.379555:0.000000 x:@0.655167:0.393825:0.662622:0.393825:0.662622:0.377419:0.655167:0.377419:0.000000 2:@0.666506:0.393270:0.681839:0.393270:0.681839:0.379555:0.666506:0.379555:0.000000 x:@0.704185:0.393825:0.711640:0.393825:0.711640:0.377419:0.704185:0.377419:0.000000 4:@0.711588:0.387761:0.716825:0.387761:0.716825:0.378180:0.711588:0.378180:0.000000 1:@0.720735:0.393270:0.736068:0.393270:0.736068:0.379555:0.720735:0.379555:0.000000 x:@0.748825:0.393825:0.756280:0.393825:0.756280:0.377419:0.748825:0.377419:0.000000 3:@0.756211:0.387761:0.761448:0.387761:0.761448:0.378180:0.756211:0.378180:0.000000 1:@0.765359:0.393270:0.780693:0.393270:0.780693:0.379555:0.765359:0.379555:0.000000 x:@0.793449:0.393825:0.800904:0.393825:0.800904:0.377419:0.793449:0.377419:0.000000 2:@0.811724:0.387761:0.816961:0.387761:0.816961:0.378180:0.811724:0.378180:0.000000 1:@0.820872:0.393270:0.836206:0.393270:0.836206:0.379555:0.820872:0.379555:0.000000 x:@0.848962:0.393825:0.856417:0.393825:0.856417:0.377419:0.848962:0.377419:0.000000 1:@0.860301:0.393270:0.875634:0.393270:0.875634:0.379555:0.860301:0.379555:0.000000 Ejemplo 7:@0.293670:0.428329:0.369453:0.428329:0.369453:0.411660:0.293670:0.411660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 64 48:@0.293670:0.462833:0.431964:0.462847:0.431964:0.446413:0.293670:0.446400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.379172:0.462833:0.386627:0.462833:0.386627:0.446427:0.379172:0.446427:0.000000 2:@0.386557:0.456783:0.391793:0.456783:0.391793:0.447202:0.386557:0.447202:0.000000 1:@0.395297:0.462293:0.410630:0.462293:0.410630:0.448577:0.395297:0.448577:0.000000 xy:@0.431872:0.462847:0.446929:0.462847:0.446929:0.446441:0.431872:0.446441:0.000000:0.000000 2:@0.446862:0.456783:0.452099:0.456783:0.452099:0.447202:0.446862:0.447202:0.000000 9 . Es un trinomio cuadrado perfecto porque los dos extremos :@0.452050:0.462847:0.931600:0.462847:0.931600:0.446413:0.452050:0.446413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.455602:0.462293:0.470935:0.462293:0.470935:0.448577:0.455602:0.448577:0.000000 y:@0.483287:0.462847:0.490760:0.462847:0.490760:0.446441:0.483287:0.446441:0.000000 4:@0.490680:0.456783:0.495917:0.456783:0.495917:0.447202:0.490680:0.447202:0.000000 tienen raíz cuadrada exacta: 8 ; 3 . El segundo término es el doble producto de las dos :@0.293665:0.479489:0.931868:0.479489:0.931868:0.463055:0.293665:0.463055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.508699:0.479489:0.539733:0.479489:0.539733:0.463083:0.508699:0.463083:0.000000:0.000000:0.000000 2:@0.539671:0.473425:0.544908:0.473425:0.544908:0.463844:0.539671:0.463844:0.000000 raíces: 2(8 )(3 ) 48:@0.293657:0.496131:0.448803:0.496131:0.448803:0.479697:0.293657:0.479697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.364488:0.496131:0.371943:0.496131:0.371943:0.479725:0.364488:0.479725:0.000000 y:@0.390368:0.496131:0.397842:0.496131:0.397842:0.479725:0.390368:0.479725:0.000000 2:@0.397780:0.490067:0.403017:0.490067:0.403017:0.480486:0.397780:0.480486:0.000000 5:@0.411713:0.495576:0.427046:0.495576:0.427046:0.481861:0.411713:0.481861:0.000000 xy:@0.448711:0.496131:0.463768:0.496131:0.463768:0.479725:0.448711:0.479725:0.000000:0.000000 2:@0.463711:0.490067:0.468948:0.490067:0.468948:0.480486:0.463711:0.480486:0.000000 . :@0.468902:0.496131:0.476136:0.496131:0.476136:0.479697:0.468902:0.479697:0.000000:0.000000 En consecuencia, 64 48:@0.293665:0.530635:0.494282:0.530641:0.494282:0.514207:0.293665:0.514201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.440665:0.530635:0.448120:0.530635:0.448120:0.514229:0.440665:0.514229:0.000000 2:@0.448045:0.524577:0.453282:0.524577:0.453282:0.514996:0.448045:0.514996:0.000000 1:@0.457192:0.530087:0.472525:0.530087:0.472525:0.516371:0.457192:0.516371:0.000000 xy:@0.494190:0.530641:0.509248:0.530641:0.509248:0.514235:0.494190:0.514235:0.000000:0.000000 2:@0.509179:0.524577:0.514416:0.524577:0.514416:0.514996:0.509179:0.514996:0.000000 9 (8 3 ):@0.514370:0.530641:0.652761:0.530641:0.652761:0.514207:0.514370:0.514207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.518327:0.530087:0.533661:0.530087:0.533661:0.516371:0.518327:0.516371:0.000000 y:@0.546417:0.530641:0.553890:0.530641:0.553890:0.514235:0.546417:0.514235:0.000000 4:@0.553822:0.524577:0.559058:0.524577:0.559058:0.514996:0.553822:0.514996:0.000000 5:@0.562968:0.530087:0.578302:0.530087:0.578302:0.516371:0.562968:0.516371:0.000000 x:@0.595862:0.530641:0.603317:0.530641:0.603317:0.514235:0.595862:0.514235:0.000000 1:@0.607201:0.530087:0.622534:0.530087:0.622534:0.516371:0.607201:0.516371:0.000000 y:@0.635290:0.530641:0.642764:0.530641:0.642764:0.514235:0.635290:0.514235:0.000000 2 2:@0.642693:0.524577:0.657917:0.524577:0.657917:0.514996:0.642693:0.514996:0.000000:0.000000:0.000000 Ejemplo 8:@0.293660:0.565152:0.369443:0.565152:0.369443:0.548482:0.293660:0.548482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 16 15:@0.293660:0.599656:0.438139:0.599663:0.438139:0.583229:0.293660:0.583222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.382181:0.599656:0.389636:0.599656:0.389636:0.583250:0.382181:0.583250:0.000000 4:@0.389696:0.593599:0.394933:0.593599:0.394933:0.584018:0.389696:0.584018:0.000000 1:@0.399833:0.599109:0.415166:0.599109:0.415166:0.585393:0.399833:0.585393:0.000000 x y:@0.438212:0.599663:0.458475:0.599663:0.458475:0.583257:0.438212:0.583257:0.000000:0.000000:0.000000 2 2:@0.445724:0.593599:0.463771:0.593599:0.463771:0.584018:0.445724:0.584018:0.000000:0.000000:0.000000 9 . Los dos extremos tienen raíz cuadrada exacta, que son :@0.463812:0.599663:0.931713:0.599663:0.931713:0.583229:0.463812:0.583229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.468671:0.599109:0.484005:0.599109:0.484005:0.585393:0.468671:0.585393:0.000000 y:@0.497994:0.599663:0.505467:0.599663:0.505467:0.583257:0.497994:0.583257:0.000000 4:@0.505528:0.593599:0.510764:0.593599:0.510764:0.584018:0.505528:0.584018:0.000000 iguales a 4x ;3y respectivamente. El doble producto de las raíces es 24:@0.293655:0.616305:0.788955:0.616305:0.788955:0.599871:0.293655:0.599871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.375167:0.610241:0.380404:0.610241:0.380404:0.600660:0.375167:0.600660:0.000000 2:@0.399992:0.610241:0.405229:0.610241:0.405229:0.600660:0.399992:0.600660:0.000000 x y:@0.789110:0.616305:0.809005:0.616305:0.809005:0.599899:0.789110:0.599899:0.000000:0.000000:0.000000 2 2:@0.796407:0.610241:0.814083:0.610241:0.814083:0.600660:0.796407:0.600660:0.000000:0.000000:0.000000 . Para completar :@0.813968:0.616305:0.931469:0.616305:0.931469:0.599871:0.813968:0.599871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 este valor se debe sumar 9:@0.293650:0.632947:0.490238:0.632947:0.490238:0.616513:0.293650:0.616513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.490166:0.632947:0.510335:0.632947:0.510335:0.616541:0.490166:0.616541:0.000000:0.000000:0.000000 2 2:@0.497626:0.626883:0.515569:0.626883:0.515569:0.617302:0.497626:0.617302:0.000000:0.000000:0.000000 y restar la misma cantidad. Así se completa un trinomio :@0.515568:0.632947:0.931726:0.632947:0.931726:0.616513:0.515568:0.616513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrado perfecto y luego se aplica la diferencia de cuadrados.:@0.293650:0.649589:0.749541:0.649589:0.749541:0.633155:0.293650:0.633155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16 15:@0.408401:0.684093:0.479846:0.684099:0.479846:0.667665:0.408401:0.667659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.426201:0.684093:0.433656:0.684093:0.433656:0.667687:0.426201:0.667687:0.000000 4:@0.433609:0.678035:0.438846:0.678035:0.438846:0.668454:0.433609:0.668454:0.000000 1:@0.442756:0.683544:0.458089:0.683544:0.458089:0.669829:0.442756:0.669829:0.000000 x y:@0.479754:0.684099:0.499796:0.684099:0.499796:0.667693:0.479754:0.667693:0.000000:0.000000:0.000000 2 2:@0.487134:0.678035:0.504968:0.678035:0.504968:0.668454:0.487134:0.668454:0.000000:0.000000:0.000000 9:@0.504920:0.684099:0.537059:0.684099:0.537059:0.667665:0.504920:0.667665:0.000000:0.000000:0.000000:0.000000 1:@0.508878:0.683544:0.524211:0.683544:0.524211:0.669829:0.508878:0.669829:0.000000 y:@0.536967:0.684099:0.544441:0.684099:0.544441:0.667693:0.536967:0.667693:0.000000 4 :@0.544372:0.678035:0.551916:0.678035:0.551916:0.668454:0.544372:0.668454:0.000000:0.000000 5:@0.551865:0.683544:0.567199:0.683544:0.567199:0.669829:0.551865:0.669829:0.000000 :@0.567107:0.678035:0.569457:0.678035:0.569457:0.668454:0.567107:0.668454:0.000000 16 15:@0.569409:0.684099:0.640841:0.684099:0.640841:0.667665:0.569409:0.667665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.587214:0.684099:0.594669:0.684099:0.594669:0.667693:0.587214:0.667693:0.000000 4:@0.594602:0.678035:0.599839:0.678035:0.599839:0.668454:0.594602:0.668454:0.000000 1:@0.603750:0.683544:0.619084:0.683544:0.619084:0.669829:0.603750:0.669829:0.000000 x y:@0.640749:0.684099:0.660791:0.684099:0.660791:0.667693:0.640749:0.667693:0.000000:0.000000:0.000000 2 2:@0.648127:0.678035:0.665961:0.678035:0.665961:0.668454:0.648127:0.668454:0.000000:0.000000:0.000000 +9 9:@0.665915:0.684099:0.730443:0.684099:0.730443:0.667665:0.665915:0.667665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.685703:0.684099:0.693176:0.684099:0.693176:0.667693:0.685703:0.667693:0.000000 4:@0.693114:0.678035:0.698351:0.678035:0.698351:0.668454:0.693114:0.668454:0.000000 1:@0.702261:0.683544:0.717594:0.683544:0.717594:0.669829:0.702261:0.669829:0.000000 x y:@0.730350:0.684099:0.750401:0.684099:0.750401:0.667693:0.730350:0.667693:0.000000:0.000000:0.000000 2 2:@0.737737:0.678035:0.755571:0.678035:0.755571:0.668454:0.737737:0.668454:0.000000:0.000000:0.000000 9:@0.755523:0.684099:0.787662:0.684099:0.787662:0.667665:0.755523:0.667665:0.000000:0.000000:0.000000:0.000000 2:@0.759481:0.683544:0.774814:0.683544:0.774814:0.669829:0.759481:0.669829:0.000000 x y:@0.787570:0.684099:0.807621:0.684099:0.807621:0.667693:0.787570:0.667693:0.000000:0.000000:0.000000 2 2:@0.794957:0.678035:0.812791:0.678035:0.812791:0.668454:0.794957:0.668454:0.000000:0.000000:0.000000 16 24 9 9 (4 3 )2 9:@0.424956:0.718610:0.771119:0.718610:0.771119:0.702176:0.424956:0.702176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.442756:0.718610:0.450210:0.718610:0.450210:0.702203:0.442756:0.702203:0.000000 4:@0.450149:0.712546:0.455385:0.712546:0.455385:0.702965:0.450149:0.702965:0.000000 1:@0.459295:0.718055:0.474629:0.718055:0.474629:0.704339:0.459295:0.704339:0.000000 x y:@0.496294:0.718610:0.520294:0.718610:0.520294:0.702203:0.496294:0.702203:0.000000:0.000000:0.000000 2:@0.503674:0.712546:0.508910:0.712546:0.508910:0.702965:0.503674:0.702965:0.000000 2:@0.520222:0.712546:0.525458:0.712546:0.525458:0.702965:0.520222:0.702965:0.000000 1:@0.529368:0.718055:0.544702:0.718055:0.544702:0.704339:0.529368:0.704339:0.000000 y:@0.557458:0.718610:0.564931:0.718610:0.564931:0.702203:0.557458:0.702203:0.000000 4:@0.564863:0.712546:0.570099:0.712546:0.570099:0.702965:0.564863:0.702965:0.000000 2:@0.574009:0.718055:0.589343:0.718055:0.589343:0.704339:0.574009:0.704339:0.000000 x y:@0.602099:0.718610:0.626107:0.718610:0.626107:0.702203:0.602099:0.702203:0.000000:0.000000:0.000000 2:@0.609485:0.712546:0.614722:0.712546:0.614722:0.702965:0.609485:0.702965:0.000000 2:@0.626033:0.712546:0.631270:0.712546:0.631270:0.702965:0.626033:0.702965:0.000000 5:@0.635180:0.718055:0.650513:0.718055:0.650513:0.704339:0.635180:0.704339:0.000000 x:@0.668074:0.718610:0.675529:0.718610:0.675529:0.702203:0.668074:0.702203:0.000000 2:@0.675453:0.712546:0.680690:0.712546:0.680690:0.702965:0.675453:0.702965:0.000000 1:@0.684600:0.718055:0.699933:0.718055:0.699933:0.704339:0.684600:0.704339:0.000000 y:@0.712690:0.718610:0.720163:0.718610:0.720163:0.702203:0.712690:0.702203:0.000000 2:@0.720094:0.712546:0.725331:0.712546:0.725331:0.702965:0.720094:0.702965:0.000000 2:@0.742938:0.718055:0.758271:0.718055:0.758271:0.704339:0.742938:0.704339:0.000000 x y:@0.771027:0.718610:0.791081:0.718610:0.791081:0.702203:0.771027:0.702203:0.000000:0.000000:0.000000 2 2:@0.778417:0.712546:0.796251:0.712546:0.796251:0.702965:0.778417:0.702965:0.000000:0.000000:0.000000 Aplicando diferencia de cuadrados, obtenemos::@0.293658:0.753120:0.640147:0.753120:0.640147:0.736686:0.293658:0.736686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (4 3 ) 9:@0.399519:0.787624:0.512573:0.787632:0.512573:0.771198:0.399519:0.771190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.413214:0.787624:0.420669:0.787624:0.420669:0.771218:0.413214:0.771218:0.000000 2:@0.420615:0.781568:0.425852:0.781568:0.425852:0.771987:0.420615:0.771987:0.000000 1:@0.429762:0.787077:0.445095:0.787077:0.445095:0.773361:0.429762:0.773361:0.000000 y:@0.457851:0.787632:0.465324:0.787632:0.465324:0.771225:0.457851:0.771225:0.000000 2 2:@0.465256:0.781568:0.480480:0.781568:0.480480:0.771987:0.465256:0.771987:0.000000:0.000000:0.000000 2:@0.484391:0.787077:0.499724:0.787077:0.499724:0.773361:0.484391:0.773361:0.000000 x y:@0.512481:0.787632:0.532529:0.787632:0.532529:0.771225:0.512481:0.771225:0.000000:0.000000:0.000000 2 2:@0.519865:0.781568:0.537699:0.781568:0.537699:0.771987:0.519865:0.771987:0.000000:0.000000:0.000000 (4 3 ) 3:@0.537653:0.787632:0.672634:0.787632:0.672634:0.771198:0.537653:0.771198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.541611:0.787077:0.556944:0.787077:0.556944:0.773361:0.541611:0.773361:0.000000 5:@0.560810:0.788214:0.564896:0.788214:0.564896:0.770560:0.560810:0.770560:0.000000 x:@0.578499:0.787632:0.585954:0.787632:0.585954:0.771225:0.578499:0.771225:0.000000 2:@0.585877:0.781568:0.591114:0.781568:0.591114:0.771987:0.585877:0.771987:0.000000 1:@0.595025:0.787077:0.610359:0.787077:0.610359:0.773361:0.595025:0.773361:0.000000 y:@0.623115:0.787632:0.630588:0.787632:0.630588:0.771225:0.623115:0.771225:0.000000 2:@0.630520:0.781568:0.635756:0.781568:0.635756:0.771987:0.630520:0.771987:0.000000 1:@0.644452:0.787077:0.659785:0.787077:0.659785:0.773361:0.644452:0.773361:0.000000 xy x:@0.672542:0.787632:0.719922:0.787632:0.719922:0.771225:0.672542:0.771225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 5:@0.687544:0.788214:0.698864:0.788214:0.698864:0.770560:0.687544:0.770560:0.000000:0.000000:0.000000 (4 3 ) 3:@0.698772:0.787632:0.802671:0.787632:0.802671:0.771198:0.698772:0.771198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.719873:0.781568:0.725110:0.781568:0.725110:0.771987:0.719873:0.771987:0.000000 1:@0.729020:0.787077:0.744353:0.787077:0.744353:0.773361:0.729020:0.773361:0.000000 y:@0.757110:0.787632:0.764583:0.787632:0.764583:0.771225:0.757110:0.771225:0.000000 2:@0.764514:0.781568:0.769751:0.781568:0.769751:0.771987:0.764514:0.771987:0.000000 2:@0.778447:0.787077:0.793780:0.787077:0.793780:0.773361:0.778447:0.773361:0.000000 xy:@0.802597:0.787632:0.817654:0.787632:0.817654:0.771225:0.802597:0.771225:0.000000:0.000000 6:@0.817599:0.788214:0.821686:0.788214:0.821686:0.770560:0.817599:0.770560:0.000000 Es decir que 16 15 ^ 9 (4 ^ 3:@0.293674:0.822136:0.633691:0.822142:0.633691:0.805708:0.293674:0.805702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.403068:0.822136:0.410523:0.822136:0.410523:0.805730:0.403068:0.805730:0.000000 4:@0.410447:0.816078:0.415684:0.816078:0.415684:0.806497:0.410447:0.806497:0.000000 1:@0.419596:0.821587:0.434929:0.821587:0.434929:0.807872:0.419596:0.807872:0.000000 x:@0.456594:0.822142:0.464049:0.822142:0.464049:0.805736:0.456594:0.805736:0.000000 2:@0.474863:0.816078:0.480100:0.816078:0.480100:0.806497:0.474863:0.806497:0.000000 y:@0.484011:0.822142:0.491485:0.822142:0.491485:0.805736:0.484011:0.805736:0.000000 2:@0.491411:0.816078:0.496648:0.816078:0.496648:0.806497:0.491411:0.806497:0.000000 1:@0.500558:0.821587:0.515891:0.821587:0.515891:0.807872:0.500558:0.807872:0.000000 y:@0.528647:0.822142:0.536120:0.822142:0.536120:0.805736:0.528647:0.805736:0.000000 4:@0.536052:0.816078:0.541289:0.816078:0.541289:0.806497:0.536052:0.806497:0.000000 5:@0.545199:0.821587:0.560532:0.821587:0.560532:0.807872:0.545199:0.807872:0.000000 x:@0.578092:0.822142:0.585547:0.822142:0.585547:0.805736:0.578092:0.805736:0.000000 2:@0.596362:0.816078:0.601599:0.816078:0.601599:0.806497:0.596362:0.806497:0.000000 1:@0.605509:0.821587:0.620842:0.821587:0.620842:0.807872:0.605509:0.807872:0.000000 xy y:@0.633599:0.822142:0.686704:0.822142:0.686704:0.805736:0.633599:0.805736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.651840:0.821587:0.667173:0.821587:0.667173:0.807872:0.651840:0.807872:0.000000 3 )(4 3:@0.670321:0.822142:0.755043:0.822142:0.755043:0.805708:0.670321:0.805708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.686640:0.816078:0.691877:0.816078:0.691877:0.806497:0.686640:0.806497:0.000000 x:@0.710328:0.822142:0.717783:0.822142:0.717783:0.805736:0.710328:0.805736:0.000000 2:@0.717715:0.816078:0.722952:0.816078:0.722952:0.806497:0.717715:0.806497:0.000000 2:@0.726861:0.821587:0.742195:0.821587:0.742195:0.807872:0.726861:0.807872:0.000000 xy y:@0.754951:0.822142:0.808056:0.822142:0.808056:0.805736:0.754951:0.805736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.773193:0.821587:0.788526:0.821587:0.788526:0.807872:0.773193:0.807872:0.000000 3 ):@0.791673:0.822142:0.818059:0.822142:0.818059:0.805708:0.791673:0.805708:0.000000:0.000000:0.000000 2:@0.807992:0.816078:0.813229:0.816078:0.813229:0.806497:0.807992:0.806497:0.000000 Ejemplo 9:@0.293655:0.856646:0.369438:0.856646:0.369438:0.839976:0.293655:0.839976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 4 21. Se buscan dos factores de tal manera que la diferencia de los :@0.293655:0.891150:0.931591:0.891163:0.931591:0.874729:0.293655:0.874716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.364081:0.891150:0.371536:0.891150:0.371536:0.874744:0.364081:0.874744:0.000000 2:@0.371603:0.885099:0.376840:0.885099:0.376840:0.875518:0.371603:0.875518:0.000000 1:@0.381741:0.890608:0.397074:0.890608:0.397074:0.876892:0.381741:0.876892:0.000000 x:@0.411063:0.891163:0.418518:0.891163:0.418518:0.874757:0.411063:0.874757:0.000000 2:@0.423433:0.890608:0.438766:0.890608:0.438766:0.876892:0.423433:0.876892:0.000000 números sea 4 y el producto 21. Es decir que 4 21 (:@0.293625:0.907804:0.741383:0.907805:0.741383:0.891371:0.293625:0.891371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.620372:0.907804:0.627827:0.907804:0.627827:0.891398:0.620372:0.891398:0.000000 2:@0.627794:0.901741:0.633030:0.901741:0.633030:0.892160:0.627794:0.892160:0.000000 1:@0.636940:0.907250:0.652274:0.907250:0.652274:0.893534:0.636940:0.893534:0.000000 x:@0.665030:0.907805:0.672485:0.907805:0.672485:0.891399:0.665030:0.891399:0.000000 2:@0.676369:0.907250:0.691702:0.907250:0.691702:0.893534:0.676369:0.893534:0.000000 5 1:@0.717306:0.907250:0.764006:0.907250:0.764006:0.893534:0.717306:0.893534:0.000000:0.000000:0.000000 x:@0.741291:0.907805:0.748746:0.907805:0.748746:0.891399:0.741291:0.891399:0.000000 7)(:@0.763914:0.907805:0.782505:0.907805:0.782505:0.891371:0.763914:0.891371:0.000000:0.000000:0.000000 x:@0.782413:0.907805:0.789868:0.907805:0.789868:0.891399:0.782413:0.891399:0.000000 2:@0.789794:0.907250:0.805127:0.907250:0.805127:0.893534:0.789794:0.893534:0.000000 3):@0.805035:0.907805:0.818822:0.907805:0.818822:0.891371:0.805035:0.891371:0.000000:0.000000 Si hay trinomios, :@0.084610:0.358410:0.207440:0.358410:0.207440:0.341976:0.084610:0.341976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puede ser::@0.084610:0.375051:0.160535:0.375051:0.160535:0.358618:0.084610:0.358618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio cuadrado :@0.084610:0.402413:0.227031:0.402413:0.227031:0.385980:0.084610:0.385980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 perfecto:@0.084610:0.419055:0.146431:0.419055:0.146431:0.402621:0.084610:0.402621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio cuadrado :@0.084610:0.446417:0.227031:0.446417:0.227031:0.429983:0.084610:0.429983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 perfecto por :@0.084610:0.463059:0.179583:0.463059:0.179583:0.446625:0.084610:0.446625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 completación:@0.084610:0.479701:0.185629:0.479701:0.185629:0.463267:0.084610:0.463267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trinomio de la forma :@0.084610:0.507063:0.239342:0.507063:0.239342:0.490629:0.084610:0.490629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.084610:0.523705:0.163945:0.523708:0.163945:0.507275:0.084610:0.507271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.088568:0.523705:0.096023:0.523705:0.096023:0.507299:0.088568:0.507299:0.000000 2:@0.095949:0.517645:0.101186:0.517645:0.101186:0.508064:0.095949:0.508064:0.000000 1:@0.105097:0.523154:0.120430:0.523154:0.120430:0.509438:0.105097:0.509438:0.000000 bx:@0.124296:0.523708:0.140770:0.523708:0.140770:0.507302:0.124296:0.507302:0.000000:0.000000 1:@0.144672:0.523154:0.160006:0.523154:0.160006:0.509438:0.144672:0.509438:0.000000 c:@0.163871:0.523708:0.171529:0.523708:0.171529:0.507302:0.163871:0.507302:0.000000 Trinomio de la forma :@0.084646:0.551070:0.239477:0.551070:0.239477:0.534637:0.084646:0.534637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax:@0.084646:0.567712:0.101287:0.567712:0.101287:0.551306:0.084646:0.551306:0.000000:0.000000 2:@0.101192:0.561650:0.106428:0.561650:0.106428:0.552069:0.101192:0.552069:0.000000 :@0.106381:0.567713:0.129611:0.567713:0.129611:0.551280:0.106381:0.551280:0.000000:0.000000:0.000000 1:@0.110339:0.567159:0.125672:0.567159:0.125672:0.553443:0.110339:0.553443:0.000000 bx c:@0.129538:0.567713:0.175335:0.567713:0.175335:0.551307:0.129538:0.551307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.149197:0.567159:0.164530:0.567159:0.164530:0.553443:0.149197:0.553443:0.000000 Competencia :@0.078581:0.315181:0.177272:0.315181:0.177272:0.299775:0.078581:0.299775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.330310:0.167195:0.330310:0.167195:0.314904:0.078581:0.314904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000