92:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Polinomios algebraicos:@0.073089:0.043661:0.280500:0.043661:0.280500:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se denomina :@0.293660:0.237932:0.396295:0.237932:0.396295:0.221498:0.293660:0.221498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto notable:@0.396980:0.237932:0.533181:0.237932:0.533181:0.221262:0.396980:0.221262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a una multiplicación de expresiones algebraicas que :@0.533175:0.237932:0.931063:0.237932:0.931063:0.221498:0.533175:0.221498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumple reglas fijas y cuyo resultado puede ser escrito por simple inspección, es decir, sin :@0.293660:0.254573:0.931429:0.254573:0.931429:0.238140:0.293660:0.238140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar la multiplicación.:@0.293660:0.271215:0.471209:0.271215:0.471209:0.254781:0.293660:0.254781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los productos notables facilitan el proceso de multiplicación mediante reglas específicas :@0.293660:0.300366:0.931396:0.300366:0.931396:0.283932:0.293660:0.283932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dadas.:@0.293660:0.317008:0.339892:0.317008:0.339892:0.300574:0.293660:0.300574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos algunos de estos.:@0.293660:0.346159:0.480490:0.346159:0.480490:0.329725:0.293660:0.329725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1 Cuadrado de un binomio:@0.293660:0.375310:0.517284:0.375310:0.517284:0.358363:0.293660:0.358363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diseño de un circuito impreso, se ha tomado en consideración usar una placa de :@0.293660:0.404461:0.931398:0.404461:0.931398:0.388027:0.293660:0.388027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma cuadrangular, de la cual se sabe, a ciencia cierta, que se dejará un margen de 5 :@0.293660:0.421103:0.930827:0.421103:0.930827:0.404669:0.293660:0.404669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mm, tanto en la parte inferior, como del lado derecho. De ese margen hacia adentro se :@0.293660:0.437745:0.931321:0.437745:0.931321:0.421311:0.293660:0.421311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podrán instalar pistas de cobre y los componentes electrónicos necesarios. ¿Cuál es la :@0.293660:0.454386:0.931190:0.454386:0.931190:0.437953:0.293660:0.437953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión algebraica que representa el área de esa placa?:@0.293660:0.471028:0.708477:0.471028:0.708477:0.454594:0.293660:0.454594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elaboramos un esquema de la forma de la placa y escribimos las medidas proporcionadas :@0.293660:0.500179:0.931252:0.500179:0.931252:0.483745:0.293660:0.483745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como datos. Al valor desconocido le asignamos la letra  .:@0.293660:0.516821:0.704657:0.516821:0.704657:0.500387:0.293660:0.500387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.694073:0.516821:0.701528:0.516821:0.701528:0.500415:0.694073:0.500415:0.000000
El gráfico nos muestra un cuadrado :@0.590127:0.558665:0.873669:0.558665:0.873669:0.542231:0.590127:0.542231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuyo lado mide   + 5. Por lo tanto, su :@0.590127:0.575307:0.873967:0.575307:0.873967:0.558873:0.590127:0.558873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.711707:0.575307:0.719162:0.575307:0.719162:0.558901:0.711707:0.558901:0.000000
área es::@0.590127:0.591949:0.643501:0.591949:0.643501:0.575515:0.590127:0.575515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.590127:0.608591:0.600012:0.608591:0.600012:0.592185:0.590127:0.592185:0.000000
   (    5) (    5):@0.599938:0.608591:0.725181:0.608591:0.725181:0.592157:0.599938:0.592157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.603896:0.608036:0.619229:0.608036:0.619229:0.594320:0.603896:0.594320:0.000000
x:@0.627881:0.608591:0.635336:0.608591:0.635336:0.592185:0.627881:0.592185:0.000000
1:@0.639219:0.608036:0.654553:0.608036:0.654553:0.594320:0.639219:0.594320:0.000000
x:@0.680857:0.608591:0.688312:0.608591:0.688312:0.592185:0.680857:0.592185:0.000000
1:@0.692196:0.608036:0.707529:0.608036:0.707529:0.594320:0.692196:0.594320:0.000000
A:@0.590127:0.625232:0.600012:0.625232:0.600012:0.608826:0.590127:0.608826:0.000000
   (    5):@0.599938:0.625232:0.672205:0.625232:0.672205:0.608799:0.599938:0.608799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.603896:0.624678:0.619229:0.624678:0.619229:0.610962:0.603896:0.610962:0.000000
x:@0.627881:0.625232:0.635336:0.625232:0.635336:0.608826:0.627881:0.608826:0.000000
1:@0.639219:0.624678:0.654553:0.624678:0.654553:0.610962:0.639219:0.610962:0.000000
2:@0.672117:0.619169:0.677353:0.619169:0.677353:0.609588:0.672117:0.609588:0.000000
x:@0.409438:0.558204:0.416893:0.558204:0.416893:0.541798:0.409438:0.541798:0.000000
x:@0.363236:0.584831:0.370691:0.584831:0.370691:0.568425:0.363236:0.568425:0.000000
5:@0.363236:0.624674:0.372219:0.624674:0.372219:0.608240:0.363236:0.608240:0.000000
5:@0.452143:0.557732:0.460647:0.557732:0.460647:0.541326:0.452143:0.541326:0.000000
Otra forma de obtener el área de la placa es dividiéndola en cuatro áreas.:@0.293675:0.671701:0.820802:0.671701:0.820802:0.655267:0.293675:0.655267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos el área total al sumar las :@0.592164:0.706335:0.871678:0.706335:0.871678:0.689901:0.592164:0.689901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuatro áreas.:@0.592164:0.722977:0.683075:0.722977:0.683075:0.706543:0.592164:0.706543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.592164:0.739619:0.602049:0.739619:0.602049:0.723213:0.592164:0.723213:0.000000
       5    5    5:@0.601975:0.739619:0.748699:0.739619:0.748699:0.723185:0.601975:0.723185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.605932:0.739064:0.621266:0.739064:0.621266:0.725348:0.605932:0.725348:0.000000
x:@0.625131:0.739619:0.632586:0.739619:0.632586:0.723213:0.625131:0.723213:0.000000
2:@0.632514:0.733555:0.637751:0.733555:0.637751:0.723974:0.632514:0.723974:0.000000
1:@0.641661:0.739064:0.656994:0.739064:0.656994:0.725348:0.641661:0.725348:0.000000
x:@0.669750:0.739619:0.677205:0.739619:0.677205:0.723213:0.669750:0.723213:0.000000
1:@0.681089:0.739064:0.696423:0.739064:0.696423:0.725348:0.681089:0.725348:0.000000
x:@0.709179:0.739619:0.716634:0.739619:0.716634:0.723213:0.709179:0.723213:0.000000
1:@0.720518:0.739064:0.735851:0.739064:0.735851:0.725348:0.720518:0.725348:0.000000
2:@0.748614:0.733555:0.753851:0.733555:0.753851:0.723974:0.748614:0.723974:0.000000
Reduciendo  términos  semejantes, :@0.592164:0.756260:0.872046:0.756260:0.872046:0.739827:0.592164:0.739827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos::@0.592164:0.772902:0.659877:0.772902:0.659877:0.756468:0.592164:0.756468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.592164:0.789544:0.602049:0.789544:0.602049:0.773138:0.592164:0.773138:0.000000
       10    25:@0.601975:0.789544:0.727089:0.789544:0.727089:0.773110:0.601975:0.773110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.605932:0.788989:0.621266:0.788989:0.621266:0.775274:0.605932:0.775274:0.000000
x:@0.625131:0.789544:0.632586:0.789544:0.632586:0.773138:0.625131:0.773138:0.000000
2:@0.632514:0.783480:0.637751:0.783480:0.637751:0.773899:0.632514:0.773899:0.000000
1:@0.641661:0.788989:0.656994:0.788989:0.656994:0.775274:0.641661:0.775274:0.000000
x:@0.678660:0.789544:0.686114:0.789544:0.686114:0.773138:0.678660:0.773138:0.000000
1:@0.689998:0.788989:0.705332:0.788989:0.705332:0.775274:0.689998:0.775274:0.000000
x:@0.409423:0.709806:0.417320:0.709806:0.417320:0.693372:0.409423:0.693372:0.000000
x:@0.363221:0.736433:0.371118:0.736433:0.371118:0.719999:0.363221:0.719999:0.000000
5:@0.363221:0.776276:0.372204:0.776276:0.372204:0.759842:0.363221:0.759842:0.000000
5:@0.452128:0.709334:0.461111:0.709334:0.461111:0.692900:0.452128:0.692900:0.000000
Como se trata de la misma placa, podemos decir que::@0.293660:0.827640:0.682156:0.827640:0.682156:0.811206:0.293660:0.811206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.521063:0.856791:0.525941:0.856791:0.525941:0.840357:0.521063:0.840357:0.000000
x   :@0.525868:0.856791:0.555062:0.856791:0.555062:0.840385:0.525868:0.840385:0.000000:0.000000:0.000000:0.000000
1:@0.536507:0.856236:0.551840:0.856236:0.551840:0.842521:0.536507:0.842521:0.000000
5)      :@0.554988:0.856791:0.613622:0.856790:0.613622:0.840356:0.554988:0.840357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.568680:0.850726:0.573916:0.850726:0.573916:0.841145:0.568680:0.841145:0.000000
5:@0.577828:0.856235:0.593161:0.856235:0.593161:0.842519:0.577828:0.842519:0.000000
x:@0.597027:0.856790:0.604482:0.856790:0.604482:0.840384:0.597027:0.840384:0.000000
2:@0.604401:0.850726:0.609638:0.850726:0.609638:0.841145:0.604401:0.841145:0.000000
1 :@0.613548:0.856235:0.633391:0.856235:0.633391:0.842519:0.613548:0.842519:0.000000:0.000000
10    25:@0.633299:0.856790:0.699528:0.856790:0.699528:0.840356:0.633299:0.840356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.651099:0.856790:0.658554:0.856790:0.658554:0.840384:0.651099:0.840384:0.000000
1:@0.662438:0.856235:0.677771:0.856235:0.677771:0.842519:0.662438:0.842519:0.000000
Al analizar los dos lados de la igualdad, podemos concluir que, en el segundo miembro, :@0.293667:0.885941:0.931393:0.885941:0.931393:0.869507:0.293667:0.869507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos el cuadrado del primer término, más el doble producto del primer término con :@0.293667:0.902582:0.931342:0.902582:0.931342:0.886149:0.293667:0.886149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el segundo y el cuadrado del segundo término.:@0.293667:0.919224:0.637198:0.919224:0.637198:0.902791:0.293667:0.902791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Productos notables:@0.073089:0.098522:0.482731:0.098522:0.482731:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectúa en tu cuaderno los productos::@0.293660:0.162925:0.569611:0.162925:0.569611:0.146491:0.293660:0.146491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.296955:0.184128:0.305938:0.184128:0.305938:0.167694:0.296955:0.167694:0.000000
x:@0.305857:0.184128:0.313312:0.184128:0.313312:0.167722:0.305857:0.167722:0.000000
2:@0.313247:0.178064:0.318484:0.178064:0.318484:0.168483:0.313247:0.168483:0.000000
2:@0.318436:0.183573:0.333770:0.183573:0.333770:0.169858:0.318436:0.169858:0.000000
5  :@0.333677:0.184128:0.349906:0.184128:0.349906:0.167694:0.333677:0.167694:0.000000:0.000000:0.000000
3:@0.355964:0.177886:0.364946:0.177886:0.364946:0.161452:0.355964:0.161452:0.000000
2:@0.355964:0.191865:0.364946:0.191865:0.364946:0.175431:0.355964:0.175431:0.000000
x:@0.367707:0.184127:0.375162:0.184127:0.375162:0.167721:0.367707:0.167721:0.000000
2:@0.375095:0.178064:0.380332:0.178064:0.380332:0.168483:0.375095:0.168483:0.000000
2:@0.380285:0.183573:0.395618:0.183573:0.395618:0.169858:0.380285:0.169858:0.000000
1   :@0.395526:0.184128:0.418180:0.184128:0.418180:0.167694:0.395526:0.167694:0.000000:0.000000:0.000000:0.000000
 :@0.474378:0.184128:0.478409:0.184128:0.478409:0.167694:0.474378:0.167694:0.000000
ax:@0.481632:0.184128:0.498272:0.184128:0.498272:0.167722:0.481632:0.167722:0.000000:0.000000
   :@0.498213:0.184128:0.521443:0.184128:0.521443:0.167694:0.498213:0.167694:0.000000:0.000000:0.000000
2:@0.502171:0.183573:0.517504:0.183573:0.517504:0.169858:0.502171:0.169858:0.000000
bx:@0.521370:0.184128:0.537844:0.184128:0.537844:0.167722:0.521370:0.167722:0.000000:0.000000
2:@0.537770:0.178064:0.543007:0.178064:0.543007:0.168483:0.537770:0.168483:0.000000
)(2    3:@0.542961:0.184128:0.610185:0.184128:0.610185:0.167694:0.542961:0.167694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.561461:0.184128:0.578101:0.184128:0.578101:0.167722:0.561461:0.167722:0.000000:0.000000
1:@0.582003:0.183573:0.597336:0.183573:0.597336:0.169858:0.582003:0.169858:0.000000
bx:@0.610093:0.184128:0.626567:0.184128:0.626567:0.167722:0.610093:0.167722:0.000000:0.000000
2:@0.626498:0.178064:0.631735:0.178064:0.631735:0.168483:0.626498:0.168483:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En las zonas campesinas, :@0.078581:0.310800:0.235936:0.310800:0.235936:0.295860:0.078581:0.295860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular áreas de terrenos :@0.078581:0.325929:0.238868:0.325929:0.238868:0.310989:0.078581:0.310989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irregulares es fundamental :@0.078581:0.341058:0.247491:0.341058:0.247491:0.326118:0.078581:0.326118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para actividades como la :@0.078581:0.356187:0.236693:0.356187:0.236693:0.341247:0.078581:0.341247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agricultura, la planificación :@0.078581:0.371316:0.246259:0.371316:0.246259:0.356376:0.078581:0.356376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cultivos o la distribución :@0.078581:0.386445:0.251244:0.386445:0.251244:0.371505:0.078581:0.371505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de recursos. Los productos :@0.078581:0.401574:0.247655:0.401574:0.247655:0.386634:0.078581:0.386634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notables permiten :@0.078581:0.416703:0.197681:0.416703:0.197681:0.401763:0.078581:0.401763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificar estas mediciones, :@0.078581:0.431832:0.257294:0.431832:0.257294:0.416892:0.078581:0.416892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para asegurar cálculos :@0.078581:0.446961:0.219815:0.446961:0.219815:0.432021:0.078581:0.432021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisos y rápidos. Esto es :@0.078581:0.462090:0.240699:0.462090:0.240699:0.447150:0.078581:0.447150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especialmente importante :@0.078581:0.477218:0.248159:0.477218:0.248159:0.462279:0.078581:0.462279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando se necesita dividir :@0.078581:0.492347:0.242757:0.492347:0.242757:0.477408:0.078581:0.477408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tierra equitativamente :@0.078581:0.507476:0.233573:0.507476:0.233573:0.492537:0.078581:0.492537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre parcelas o maximizar el :@0.078581:0.522605:0.262006:0.522605:0.262006:0.507665:0.078581:0.507665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso del espacio disponible, :@0.078581:0.537734:0.249561:0.537734:0.249561:0.522794:0.078581:0.522794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que puede mejorar :@0.078581:0.552863:0.217773:0.552863:0.217773:0.537923:0.078581:0.537923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la eficiencia agrícola y :@0.078581:0.567992:0.215804:0.567992:0.215804:0.553052:0.078581:0.553052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimizar la producción. :@0.078581:0.583121:0.232927:0.583121:0.232927:0.568181:0.078581:0.568181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, una comprensión :@0.078581:0.598250:0.250203:0.598250:0.250203:0.583310:0.078581:0.583310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clara de estas áreas facilita :@0.078581:0.613379:0.242098:0.613379:0.242098:0.598439:0.078581:0.598439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la toma de decisiones :@0.078581:0.628508:0.217315:0.628508:0.217315:0.613568:0.078581:0.613568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
informadas sobre el uso :@0.078581:0.643637:0.230288:0.643637:0.230288:0.628697:0.078581:0.628697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del terreno, y así contribuir :@0.078581:0.658766:0.245955:0.658766:0.245955:0.643826:0.078581:0.643826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al desarrollo sostenible y a :@0.078581:0.673895:0.243594:0.673895:0.243594:0.658955:0.078581:0.658955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gestión adecuada de los :@0.078581:0.689024:0.247292:0.689024:0.247292:0.674084:0.078581:0.674084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos.:@0.078581:0.704153:0.132953:0.704153:0.132953:0.689213:0.078581:0.689213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.246188:0.244955:0.246188:0.244955:0.229241:0.078581:0.229241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y las :@0.078581:0.262830:0.203642:0.262830:0.203642:0.246396:0.078581:0.246396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencias agrarias:@0.078581:0.279472:0.196189:0.279472:0.196189:0.263038:0.078581:0.263038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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