129:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Tema 5. Factorización total:@0.073089:0.098522:0.470481:0.098522:0.470481:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Identifica si el siguiente polinomio es un trinomio cuadrado perfecto:@0.293660:0.162485:0.790836:0.162485:0.790836:0.146051:0.293660:0.146051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P x:@0.545306:0.189847:0.566253:0.189847:0.566253:0.173441:0.545306:0.173441:0.000000:0.000000:0.000000 ( ):@0.553994:0.189847:0.571057:0.189847:0.571057:0.173413:0.553994:0.173413:0.000000:0.000000:0.000000 5 1 1:@0.570984:0.189292:0.646092:0.189293:0.646092:0.175578:0.570984:0.175576:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.586225:0.189847:0.593680:0.189847:0.593680:0.173441:0.586225:0.173441:0.000000 2:@0.593615:0.183784:0.598852:0.183784:0.598852:0.174203:0.593615:0.174203:0.000000 6x 9:@0.614045:0.189848:0.654983:0.189848:0.654983:0.173414:0.614045:0.173414:0.000000:0.000000:0.000000:0.000000 (a b:@0.145664:0.147885:0.173643:0.147885:0.173643:0.135934:0.145664:0.135934:0.000000:0.000000:0.000000:0.000000 1 5 1:@0.155169:0.147482:0.210058:0.147482:0.210058:0.137507:0.155169:0.137507:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.173588:0.143475:0.177397:0.143475:0.177397:0.136507:0.173588:0.136507:0.000000 a:@0.188446:0.147885:0.195180:0.147885:0.195180:0.135954:0.188446:0.135954:0.000000 2:@0.195133:0.143475:0.198941:0.143475:0.198941:0.136507:0.195133:0.136507:0.000000 2:@0.209991:0.147885:0.216524:0.147885:0.216524:0.135934:0.209991:0.135934:0.000000 ab b:@0.216470:0.147885:0.247662:0.147885:0.247662:0.135954:0.216470:0.135954:0.000000:0.000000:0.000000:0.000000 1:@0.229844:0.147482:0.240995:0.147482:0.240995:0.137507:0.229844:0.137507:0.000000 2:@0.247607:0.143475:0.251415:0.143475:0.251415:0.136507:0.247607:0.136507:0.000000 Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5.1 Factorización total:@0.073089:0.234572:0.246441:0.234572:0.246441:0.217625:0.073089:0.217625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Uno de los retos a los que se enfrenta una persona que estudia álgebra, es el de poder :@0.073089:0.261934:0.709801:0.261934:0.709801:0.245500:0.073089:0.245500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 identificar la manera en la que puede factorizar un polinomio. Vamos a estudiar algunas :@0.073089:0.278575:0.710913:0.278575:0.710913:0.262142:0.073089:0.262142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 claves que pueden servir para lograr el propósito de factorizar completamente un :@0.073089:0.295217:0.709838:0.295217:0.709838:0.278784:0.073089:0.278784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 polinomio.:@0.073089:0.311859:0.151369:0.311859:0.151369:0.295425:0.073089:0.295425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Siempre se busca primero si el polinomio tiene factor común.:@0.084829:0.344640:0.530376:0.344640:0.530376:0.328206:0.084829:0.328206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.073089:0.382202:0.148872:0.382202:0.148872:0.365533:0.073089:0.365533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 4 c 12:@0.073089:0.409564:0.241171:0.409566:0.241171:0.393132:0.073089:0.393131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.150142:0.409564:0.177738:0.409566:0.177738:0.393160:0.150142:0.393158:0.000000:0.000000:0.000000 4:@0.159331:0.403502:0.164568:0.403502:0.164568:0.393921:0.159331:0.393921:0.000000 3:@0.177664:0.403502:0.182901:0.403502:0.182901:0.393921:0.177664:0.393921:0.000000 2:@0.194934:0.403502:0.200171:0.403502:0.200171:0.393921:0.194934:0.393921:0.000000 2:@0.204080:0.409011:0.219414:0.409011:0.219414:0.395295:0.204080:0.395295:0.000000 a b:@0.241079:0.409566:0.264712:0.409566:0.264712:0.393160:0.241079:0.393160:0.000000:0.000000:0.000000 2 2:@0.250263:0.403502:0.269882:0.403502:0.269882:0.393921:0.250263:0.393921:0.000000:0.000000:0.000000 c 20:@0.269834:0.409566:0.322958:0.409566:0.322958:0.393132:0.269834:0.393132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.285867:0.409011:0.301200:0.409011:0.301200:0.395295:0.285867:0.395295:0.000000 ab:@0.322866:0.409566:0.341310:0.409566:0.341310:0.393160:0.322866:0.393160:0.000000:0.000000 En este caso, vemos que el factor común está dado por 4:@0.073098:0.436928:0.486122:0.436928:0.486122:0.420494:0.073098:0.420494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab:@0.485696:0.436928:0.504140:0.436928:0.504140:0.420521:0.485696:0.420521:0.000000:0.000000 Al factorizar, obtenemos 4 ( b c 3:@0.073098:0.464290:0.359966:0.464292:0.359966:0.447858:0.073098:0.447856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab a:@0.261680:0.464290:0.294132:0.464290:0.294132:0.447883:0.261680:0.447883:0.000000:0.000000:0.000000:0.000000 3 2 2:@0.294048:0.458228:0.327875:0.458228:0.327875:0.448647:0.294048:0.448647:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.331785:0.463737:0.347118:0.463737:0.347118:0.450022:0.331785:0.450022:0.000000 abc:@0.359874:0.464292:0.385902:0.464292:0.385902:0.447886:0.359874:0.447886:0.000000:0.000000:0.000000 5):@0.385847:0.464292:0.422790:0.464292:0.422790:0.447858:0.385847:0.447858:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.389805:0.463737:0.405138:0.463737:0.405138:0.450022:0.389805:0.450022:0.000000 Recuerda que puede obtenerse factor común por agrupación. En este caso, se deben :@0.084829:0.495284:0.702171:0.495284:0.702171:0.478850:0.084829:0.478850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tener cuatro o más factores.:@0.084829:0.511927:0.285773:0.511927:0.285773:0.495493:0.084829:0.495493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2:@0.073085:0.547415:0.148868:0.547415:0.148868:0.530746:0.073085:0.530746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 20:@0.073085:0.574777:0.159167:0.574777:0.159167:0.558344:0.073085:0.558344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.159028:0.574777:0.182681:0.574772:0.182681:0.558366:0.159028:0.558371:0.000000:0.000000:0.000000 2:@0.168233:0.568708:0.173470:0.568708:0.173470:0.559128:0.168233:0.559128:0.000000 15:@0.182607:0.574772:0.223656:0.574772:0.223656:0.558339:0.182607:0.558339:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.186565:0.574218:0.201898:0.574218:0.201898:0.560502:0.186565:0.560502:0.000000 ab:@0.223564:0.574772:0.242008:0.574772:0.242008:0.558366:0.223564:0.558366:0.000000:0.000000 2 :@0.241947:0.568708:0.249492:0.568708:0.249492:0.559128:0.241947:0.559128:0.000000:0.000000 2:@0.249441:0.574218:0.264774:0.574218:0.264774:0.560502:0.249441:0.560502:0.000000 8 6:@0.264682:0.574772:0.326457:0.574772:0.326457:0.558339:0.264682:0.558339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ac:@0.277530:0.574772:0.294373:0.574772:0.294373:0.558366:0.277530:0.558366:0.000000:0.000000 1:@0.298275:0.574218:0.313609:0.574218:0.313609:0.560502:0.298275:0.560502:0.000000 bc:@0.326365:0.574772:0.343207:0.574772:0.343207:0.558366:0.326365:0.558366:0.000000:0.000000 No hay un factor común para todo el polinomio. Pero hay factor común por parejas::@0.073099:0.602134:0.679784:0.602134:0.679784:0.585701:0.073099:0.585701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 (4 3 ) 2 (4 3 ):@0.289274:0.629496:0.490153:0.629496:0.490153:0.613062:0.289274:0.613062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab a:@0.298183:0.629496:0.339526:0.629496:0.339526:0.613090:0.298183:0.613090:0.000000:0.000000:0.000000:0.000000 2:@0.343410:0.628942:0.358743:0.628942:0.358743:0.615226:0.343410:0.615226:0.000000 b:@0.371499:0.629496:0.380758:0.629496:0.380758:0.613090:0.371499:0.613090:0.000000 2:@0.389428:0.628942:0.404761:0.628942:0.404761:0.615226:0.389428:0.615226:0.000000 c a:@0.413578:0.629496:0.444116:0.629496:0.444116:0.613090:0.413578:0.613090:0.000000:0.000000:0.000000 2:@0.448000:0.628942:0.463333:0.628942:0.463333:0.615226:0.448000:0.615226:0.000000 b:@0.476089:0.629496:0.485348:0.629496:0.485348:0.613090:0.476089:0.613090:0.000000 El factor común es (4 3 ) y obtenemos (4:@0.073081:0.656858:0.397925:0.656858:0.397925:0.640424:0.073081:0.640424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.224702:0.656858:0.233960:0.656858:0.233960:0.640452:0.224702:0.640452:0.000000 2:@0.237844:0.656304:0.253178:0.656304:0.253178:0.642588:0.237844:0.642588:0.000000 b:@0.265934:0.656858:0.275193:0.656858:0.275193:0.640452:0.265934:0.640452:0.000000 a b:@0.397748:0.656858:0.446840:0.656858:0.446840:0.640452:0.397748:0.640452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.410191:0.656304:0.425525:0.656304:0.425525:0.642588:0.410191:0.642588:0.000000 3 )(5 2 ):@0.428672:0.656858:0.528164:0.656858:0.528164:0.640424:0.428672:0.640424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab:@0.465266:0.656858:0.483710:0.656858:0.483710:0.640452:0.465266:0.640452:0.000000:0.000000 2:@0.487612:0.656304:0.502946:0.656304:0.502946:0.642588:0.487612:0.642588:0.000000 c:@0.515702:0.656858:0.523359:0.656858:0.523359:0.640452:0.515702:0.640452:0.000000 Si hay binomios, puede ser::@0.084829:0.687855:0.282431:0.687855:0.282431:0.671421:0.084829:0.671421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Diferencia de cuadrados: :@0.084829:0.715218:0.269741:0.715218:0.269741:0.698784:0.084829:0.698784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.325798:0.715218:0.333252:0.715218:0.333252:0.698812:0.325798:0.698812:0.000000 2:@0.333186:0.709154:0.338422:0.709154:0.338422:0.699573:0.333186:0.699573:0.000000 ( )( ):@0.338375:0.715218:0.492400:0.715218:0.492400:0.698784:0.338375:0.698784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.342332:0.714663:0.357665:0.714663:0.357665:0.700948:0.342332:0.700948:0.000000 y:@0.361531:0.715218:0.369004:0.715218:0.369004:0.698812:0.361531:0.698812:0.000000 2:@0.368924:0.709154:0.374161:0.709154:0.374161:0.699573:0.368924:0.699573:0.000000 5:@0.378072:0.714663:0.393406:0.714663:0.393406:0.700948:0.378072:0.700948:0.000000 x:@0.402057:0.715218:0.409512:0.715218:0.409512:0.698812:0.402057:0.698812:0.000000 1:@0.413396:0.714663:0.428729:0.714663:0.428729:0.700948:0.413396:0.700948:0.000000 y x:@0.432595:0.715218:0.457040:0.715218:0.457040:0.698812:0.432595:0.698812:0.000000:0.000000:0.000000 2:@0.460923:0.714663:0.476257:0.714663:0.476257:0.700948:0.460923:0.700948:0.000000 y:@0.480122:0.715218:0.487596:0.715218:0.487596:0.698812:0.480122:0.698812:0.000000 Suma de cubos: :@0.084829:0.742581:0.209443:0.742581:0.209443:0.726148:0.084829:0.726148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.265653:0.742581:0.269685:0.742581:0.269685:0.726148:0.265653:0.726148:0.000000 x:@0.325798:0.742581:0.333252:0.742581:0.333252:0.726175:0.325798:0.726175:0.000000 3:@0.333186:0.736518:0.338422:0.736518:0.338422:0.726936:0.333186:0.726936:0.000000 ( )( ):@0.338375:0.742581:0.540923:0.742581:0.540923:0.726148:0.338375:0.726148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.342332:0.742027:0.357665:0.742027:0.357665:0.728311:0.342332:0.728311:0.000000 y:@0.361531:0.742581:0.369004:0.742581:0.369004:0.726175:0.361531:0.726175:0.000000 3:@0.368924:0.736518:0.374161:0.736518:0.374161:0.726936:0.368924:0.726936:0.000000 5:@0.378072:0.742027:0.393406:0.742027:0.393406:0.728311:0.378072:0.728311:0.000000 x:@0.402057:0.742581:0.409512:0.742581:0.409512:0.726175:0.402057:0.726175:0.000000 1:@0.413396:0.742027:0.428729:0.742027:0.428729:0.728311:0.413396:0.728311:0.000000 y x:@0.432595:0.742581:0.457040:0.742581:0.457040:0.726175:0.432595:0.726175:0.000000:0.000000:0.000000 2:@0.456976:0.736518:0.462213:0.736518:0.462213:0.726936:0.456976:0.726936:0.000000 2:@0.466123:0.742027:0.481456:0.742027:0.481456:0.728311:0.466123:0.728311:0.000000 xy:@0.485321:0.742581:0.500379:0.742581:0.500379:0.726175:0.485321:0.726175:0.000000:0.000000 1:@0.504281:0.742027:0.519614:0.742027:0.519614:0.728311:0.504281:0.728311:0.000000 y:@0.523480:0.742581:0.530953:0.742581:0.530953:0.726175:0.523480:0.726175:0.000000 2:@0.530856:0.736518:0.536093:0.736518:0.536093:0.726936:0.530856:0.726936:0.000000 Diferencia de cubos: :@0.084829:0.769945:0.236050:0.769945:0.236050:0.753511:0.084829:0.753511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.265681:0.769945:0.269712:0.769945:0.269712:0.753511:0.265681:0.753511:0.000000 x:@0.325798:0.769945:0.333252:0.769945:0.333252:0.753538:0.325798:0.753538:0.000000 3 ( )( ):@0.333179:0.769945:0.544636:0.769945:0.544636:0.753511:0.333179:0.753511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.346027:0.769390:0.361360:0.769390:0.361360:0.755674:0.346027:0.755674:0.000000 y:@0.365226:0.769945:0.372699:0.769945:0.372699:0.753538:0.365226:0.753538:0.000000 3:@0.372637:0.763881:0.377874:0.763881:0.377874:0.754300:0.372637:0.754300:0.000000 5:@0.381784:0.769390:0.397117:0.769390:0.397117:0.755674:0.381784:0.755674:0.000000 x:@0.405769:0.769945:0.413224:0.769945:0.413224:0.753538:0.405769:0.753538:0.000000 2:@0.417108:0.769390:0.432441:0.769390:0.432441:0.755674:0.417108:0.755674:0.000000 y x:@0.436306:0.769945:0.460751:0.769945:0.460751:0.753538:0.436306:0.753538:0.000000:0.000000:0.000000 2:@0.460688:0.763881:0.465924:0.763881:0.465924:0.754300:0.460688:0.754300:0.000000 1:@0.469836:0.769390:0.485169:0.769390:0.485169:0.755674:0.469836:0.755674:0.000000 xy:@0.489035:0.769945:0.504092:0.769945:0.504092:0.753538:0.489035:0.753538:0.000000:0.000000 1:@0.507994:0.769390:0.523327:0.769390:0.523327:0.755674:0.507994:0.755674:0.000000 y:@0.527193:0.769945:0.534666:0.769945:0.534666:0.753538:0.527193:0.753538:0.000000 2:@0.534568:0.763881:0.539804:0.763881:0.539804:0.754300:0.534568:0.754300:0.000000 Suma o diferencia de potencias impares iguales::@0.084823:0.797306:0.432801:0.797306:0.432801:0.780873:0.084823:0.780873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.240549:0.824668:0.248003:0.824668:0.248003:0.808262:0.240549:0.808262:0.000000 5:@0.247950:0.818607:0.253187:0.818607:0.253187:0.809026:0.247950:0.809026:0.000000 2:@0.253139:0.824116:0.268472:0.824116:0.268472:0.810401:0.253139:0.810401:0.000000 (:@0.268380:0.824671:0.312963:0.824671:0.312963:0.808237:0.268380:0.808237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.272338:0.824671:0.279811:0.824671:0.279811:0.808265:0.272338:0.808265:0.000000 5:@0.279738:0.818607:0.284974:0.818607:0.284974:0.809026:0.279738:0.809026:0.000000 5 2:@0.288886:0.824116:0.335585:0.824116:0.335585:0.810401:0.288886:0.810401:0.000000:0.000000:0.000000 x y x:@0.312871:0.824671:0.363196:0.824671:0.363196:0.808265:0.312871:0.808265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 )(:@0.346151:0.824671:0.355833:0.824671:0.355833:0.808237:0.346151:0.808237:0.000000:0.000000 4 :@0.363134:0.818607:0.370678:0.818607:0.370678:0.809026:0.363134:0.809026:0.000000:0.000000 1:@0.370628:0.824116:0.385961:0.824116:0.385961:0.810401:0.370628:0.810401:0.000000 :@0.385869:0.824671:0.389900:0.824671:0.389900:0.808237:0.385869:0.808237:0.000000 x y:@0.389826:0.824671:0.409872:0.824671:0.409872:0.808265:0.389826:0.808265:0.000000:0.000000:0.000000 3:@0.397208:0.818607:0.402444:0.818607:0.402444:0.809026:0.397208:0.809026:0.000000 :@0.409798:0.824671:0.433028:0.824671:0.433028:0.808237:0.409798:0.808237:0.000000:0.000000:0.000000 1:@0.413756:0.824116:0.429089:0.824116:0.429089:0.810401:0.413756:0.810401:0.000000 x y:@0.432955:0.824671:0.453000:0.824671:0.453000:0.808265:0.432955:0.808265:0.000000:0.000000:0.000000 2 2:@0.440336:0.818607:0.458170:0.818607:0.458170:0.809026:0.440336:0.809026:0.000000:0.000000:0.000000 :@0.458124:0.824671:0.481354:0.824671:0.481354:0.808237:0.458124:0.808237:0.000000:0.000000:0.000000 1:@0.462081:0.824116:0.477415:0.824116:0.477415:0.810401:0.462081:0.810401:0.000000 xy:@0.481280:0.824671:0.496337:0.824671:0.496337:0.808265:0.481280:0.808265:0.000000:0.000000 3:@0.496264:0.818607:0.501501:0.818607:0.501501:0.809026:0.496264:0.809026:0.000000 ):@0.501455:0.824671:0.542071:0.824671:0.542071:0.808237:0.501455:0.808237:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.505412:0.824116:0.520745:0.824116:0.520745:0.810401:0.505412:0.810401:0.000000 y:@0.524611:0.824671:0.532084:0.824671:0.532084:0.808265:0.524611:0.808265:0.000000 4:@0.532004:0.818607:0.537241:0.818607:0.537241:0.809026:0.532004:0.809026:0.000000 x:@0.239382:0.852033:0.246837:0.852033:0.246837:0.835627:0.239382:0.835627:0.000000 5:@0.246774:0.845970:0.252010:0.845970:0.252010:0.836389:0.246774:0.836389:0.000000 ( )( :@0.251964:0.852034:0.398985:0.852034:0.398985:0.835600:0.251964:0.835600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.255922:0.851479:0.271255:0.851479:0.271255:0.837764:0.255922:0.837764:0.000000 y:@0.275121:0.852034:0.282594:0.852034:0.282594:0.835628:0.275121:0.835628:0.000000 5:@0.282514:0.845970:0.287751:0.845970:0.287751:0.836389:0.282514:0.836389:0.000000 5:@0.291660:0.851479:0.306994:0.851479:0.306994:0.837764:0.291660:0.837764:0.000000 x:@0.315645:0.852034:0.323100:0.852034:0.323100:0.835628:0.315645:0.835628:0.000000 1:@0.326984:0.851479:0.342317:0.851479:0.342317:0.837764:0.326984:0.837764:0.000000 y x:@0.346183:0.852034:0.370628:0.852034:0.370628:0.835628:0.346183:0.835628:0.000000:0.000000:0.000000 4:@0.370564:0.845970:0.375801:0.845970:0.375801:0.836389:0.370564:0.836389:0.000000 2:@0.379712:0.851479:0.395046:0.851479:0.395046:0.837764:0.379712:0.837764:0.000000 x y:@0.398911:0.852034:0.418948:0.852034:0.418948:0.835628:0.398911:0.835628:0.000000:0.000000:0.000000 3:@0.406286:0.845970:0.411523:0.845970:0.411523:0.836389:0.406286:0.836389:0.000000 :@0.418875:0.852034:0.442105:0.852034:0.442105:0.835600:0.418875:0.835600:0.000000:0.000000:0.000000 1:@0.422832:0.851479:0.438165:0.851479:0.438165:0.837764:0.422832:0.837764:0.000000 x y:@0.442031:0.852034:0.462076:0.852034:0.462076:0.835628:0.442031:0.835628:0.000000:0.000000:0.000000 2 2:@0.449412:0.845970:0.467246:0.845970:0.467246:0.836389:0.449412:0.836389:0.000000:0.000000:0.000000 :@0.467200:0.852034:0.490430:0.852034:0.490430:0.835600:0.467200:0.835600:0.000000:0.000000:0.000000 2:@0.471158:0.851479:0.486491:0.851479:0.486491:0.837764:0.471158:0.837764:0.000000 xy:@0.490357:0.852034:0.505414:0.852034:0.505414:0.835628:0.490357:0.835628:0.000000:0.000000 3:@0.505340:0.845970:0.510577:0.845970:0.510577:0.836389:0.505340:0.836389:0.000000 1:@0.510531:0.851479:0.525864:0.851479:0.525864:0.837764:0.510531:0.837764:0.000000 y:@0.525772:0.852034:0.533246:0.852034:0.533246:0.835628:0.525772:0.835628:0.000000 4:@0.533179:0.845970:0.538416:0.845970:0.538416:0.836389:0.533179:0.836389:0.000000 ):@0.538368:0.852034:0.543246:0.852034:0.543246:0.835600:0.538368:0.835600:0.000000 Ejemplo 3:@0.073088:0.889464:0.148870:0.889464:0.148870:0.872795:0.073088:0.872795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 36 49 . Es una diferencia de cuadrados. Cada término tiene raíz cuadrada :@0.073088:0.916826:0.710653:0.916826:0.710653:0.900392:0.073088:0.900393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.159215:0.916826:0.166670:0.916826:0.166670:0.900420:0.159215:0.900420:0.000000 2:@0.166608:0.910762:0.171845:0.910762:0.171845:0.901181:0.166608:0.901181:0.000000 2:@0.175921:0.916271:0.191254:0.916271:0.191254:0.902556:0.175921:0.902556:0.000000 y:@0.213103:0.916826:0.220577:0.916826:0.220577:0.900420:0.213103:0.900420:0.000000 6:@0.220510:0.910762:0.225747:0.910762:0.225747:0.901181:0.220510:0.901181:0.000000 exacta. La factorización es 36 49 (6 7 )(6 7 ) :@0.073084:0.933468:0.516287:0.933468:0.516287:0.917034:0.073084:0.917034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.281859:0.933468:0.289314:0.933468:0.289314:0.917062:0.281859:0.917062:0.000000 2:@0.289246:0.927404:0.294483:0.927404:0.294483:0.917823:0.289246:0.917823:0.000000 2:@0.298392:0.932913:0.313726:0.932913:0.313726:0.919197:0.298392:0.919197:0.000000 y:@0.335391:0.933468:0.342864:0.933468:0.342864:0.917062:0.335391:0.917062:0.000000 6:@0.342789:0.927404:0.348026:0.927404:0.348026:0.917823:0.342789:0.917823:0.000000 5:@0.351936:0.932913:0.367269:0.932913:0.367269:0.919197:0.351936:0.919197:0.000000 x:@0.384830:0.933468:0.392285:0.933468:0.392285:0.917062:0.384830:0.917062:0.000000 1:@0.396168:0.932913:0.411502:0.932913:0.411502:0.919197:0.396168:0.919197:0.000000 y:@0.424258:0.933468:0.431731:0.933468:0.431731:0.917062:0.424258:0.917062:0.000000 3:@0.431661:0.927404:0.436898:0.927404:0.436898:0.917823:0.431661:0.917823:0.000000 x:@0.455348:0.933468:0.462803:0.933468:0.462803:0.917062:0.455348:0.917062:0.000000 2:@0.466687:0.932913:0.482020:0.932913:0.482020:0.919197:0.466687:0.919197:0.000000 y:@0.494776:0.933468:0.502249:0.933468:0.502249:0.917062:0.494776:0.917062:0.000000 3:@0.502188:0.927404:0.507424:0.927404:0.507424:0.917823:0.502188:0.917823:0.000000 La factorización se puede :@0.740548:0.289185:0.911816:0.289185:0.911816:0.274245:0.740548:0.274245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 comparar con la resolución :@0.740548:0.304314:0.923660:0.304314:0.923660:0.289374:0.740548:0.289374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de problemas complejos :@0.740548:0.319443:0.908384:0.319443:0.908384:0.304503:0.740548:0.304503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la vida real. A veces, :@0.740548:0.334571:0.893537:0.334571:0.893537:0.319632:0.740548:0.319632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 enfrentamos un desafío :@0.740548:0.349700:0.900753:0.349700:0.900753:0.334761:0.740548:0.334761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que parece complicado, :@0.740548:0.364829:0.903506:0.364829:0.903506:0.349890:0.740548:0.349890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pero si lo descomponemos :@0.740548:0.379958:0.924463:0.379958:0.924463:0.365018:0.740548:0.365018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en partes más pequeñas y :@0.740548:0.395087:0.917179:0.395087:0.917179:0.380147:0.740548:0.380147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 manejables, se vuelve más :@0.740548:0.410216:0.918600:0.410216:0.918600:0.395276:0.740548:0.395276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fácil de abordar. :@0.740548:0.425345:0.848453:0.425345:0.848453:0.410405:0.740548:0.410405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando nos enfrentamos :@0.740548:0.533807:0.912040:0.533807:0.912040:0.518867:0.740548:0.518867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a desafíos relacionados :@0.740548:0.548936:0.896432:0.548936:0.896432:0.533996:0.740548:0.533996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con nuestra salud física, :@0.740548:0.564065:0.899821:0.564065:0.899821:0.549125:0.740548:0.549125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mental o emocional, :@0.740548:0.579194:0.879767:0.579194:0.879767:0.564254:0.740548:0.564254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 descomponer esos :@0.740548:0.594323:0.870068:0.594323:0.870068:0.579383:0.740548:0.579383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 problemas en partes más :@0.740548:0.609452:0.911316:0.609452:0.911316:0.594512:0.740548:0.594512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pequeñas y manejables :@0.740548:0.624581:0.900505:0.624581:0.900505:0.609641:0.740548:0.609641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puede ser una estrategia :@0.740548:0.639710:0.907171:0.639710:0.907171:0.624770:0.740548:0.624770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 eficaz para mejorar nuestro :@0.740548:0.654839:0.923443:0.654839:0.923443:0.639899:0.740548:0.639899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bienestar general.:@0.740548:0.669967:0.858065:0.669967:0.858065:0.655028:0.740548:0.655028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cátedra :@0.740294:0.237387:0.799873:0.237387:0.799873:0.221981:0.740294:0.221981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de salud y :@0.740294:0.252516:0.815830:0.252516:0.815830:0.237110:0.740294:0.237110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bienestar:@0.740294:0.267645:0.807982:0.267645:0.807982:0.252239:0.740294:0.252239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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