108:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Productos notables II:@0.305293:0.083059:0.567937:0.083059:0.567937:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los productos notables están íntimamente relacionados con fórmulas de factori-:@0.304744:0.213583:0.903032:0.213583:0.903032:0.197913:0.304744:0.197913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zación que trataremos más adelante, por lo que su aprendizaje facilita la solución :@0.304744:0.230179:0.907160:0.230179:0.907160:0.214509:0.304744:0.214509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de diversas multiplicaciones con ciertas características.:@0.304744:0.246775:0.704229:0.246775:0.704229:0.231106:0.304744:0.231106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este tema, se estudiarán el producto de la forma (  +  )(  +  ) y el binomio :@0.304744:0.270494:0.906992:0.270494:0.906992:0.254825:0.304744:0.254825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.708066:0.270494:0.715529:0.270494:0.715529:0.254133:0.708066:0.254133:0.000000
a x:@0.738342:0.270494:0.764841:0.270494:0.764841:0.254133:0.738342:0.254133:0.000000:0.000000:0.000000
b:@0.787655:0.270494:0.796924:0.270494:0.796924:0.254133:0.787655:0.254133:0.000000
al cubo.:@0.304744:0.287091:0.361906:0.287091:0.361906:0.271421:0.304744:0.271421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de la forma (  +  )(  +  ):@0.304744:0.323417:0.653868:0.323417:0.653868:0.301608:0.304744:0.301608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.535382:0.323417:0.547061:0.323417:0.547061:0.301643:0.535382:0.301643:0.000000
a x:@0.570515:0.323417:0.609916:0.323417:0.609916:0.301643:0.570515:0.301643:0.000000:0.000000:0.000000
b:@0.633370:0.323417:0.646504:0.323417:0.646504:0.301643:0.633370:0.301643:0.000000
Una mano robótica, al ser un dispositivo electrónico, requiere de una placa de :@0.304744:0.346199:0.907066:0.346199:0.907066:0.330529:0.304744:0.330529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circuito impreso controlador. Si durante el diseño se eligió una placa cuadrangular :@0.304744:0.362795:0.907104:0.362795:0.907104:0.347126:0.304744:0.347126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  cierta  medida,  pero  luego  se  observó  la  necesidad  de  agregarle  1 :@0.304744:0.379392:0.842928:0.379392:0.842928:0.363722:0.304744:0.363722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.845982:0.379392:0.868279:0.379392:0.868279:0.363031:0.845982:0.363031:0.000000:0.000000
  a  la :@0.868279:0.379392:0.907125:0.379392:0.907125:0.363722:0.868279:0.363722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda y 2 :@0.304744:0.395988:0.400015:0.395988:0.400015:0.380318:0.304744:0.380318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.399388:0.395988:0.421685:0.395988:0.421685:0.379627:0.399388:0.379627:0.000000:0.000000
 en la parte inferior, ¿cuál es la expresión algebraica que representa :@0.421685:0.395988:0.907123:0.395988:0.907123:0.380318:0.421685:0.380318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área de la placa modificada?:@0.304744:0.412585:0.528621:0.412585:0.528621:0.396915:0.304744:0.396915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizamos un esquema de la modificación que se le hizo a la placa.:@0.304744:0.436304:0.801140:0.436304:0.801140:0.420634:0.304744:0.420634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área de esta placa también se puede obtener si la dividimos en cuatro secciones :@0.304744:0.585948:0.907215:0.585948:0.907215:0.570278:0.304744:0.570278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como se muestra a continuación::@0.304744:0.602544:0.548597:0.602544:0.548597:0.586874:0.304744:0.586874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado que se trata de la misma área, deducimos que::@0.304744:0.768618:0.688403:0.768618:0.688403:0.752949:0.304744:0.752949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.304744:0.792337:0.309627:0.792337:0.309627:0.776668:0.304744:0.776668:0.000000
x + :@0.309627:0.792337:0.334707:0.792337:0.334707:0.775976:0.309627:0.775976:0.000000:0.000000:0.000000:0.000000
1) (:@0.334707:0.792337:0.357502:0.792337:0.357502:0.776668:0.334707:0.776668:0.000000:0.000000:0.000000:0.000000
x + :@0.357502:0.792337:0.382582:0.792337:0.382582:0.775976:0.357502:0.775976:0.000000:0.000000:0.000000:0.000000
2) =:@0.382582:0.792337:0.411477:0.792337:0.411477:0.776668:0.382582:0.776668:0.000000:0.000000:0.000000:0.000000
 x 2 +  x + :@0.411477:0.792337:0.482294:0.792337:0.482294:0.775976:0.411477:0.775976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.448221:0.792337:0.457214:0.792337:0.457214:0.776668:0.448221:0.776668:0.000000
2:@0.482294:0.792337:0.491287:0.792337:0.491287:0.776668:0.482294:0.776668:0.000000
Al analizar lo obtenido en el segundo miembro de la igualdad, podemos decir que :@0.304744:0.816056:0.907178:0.816056:0.907178:0.800386:0.304744:0.800386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el primer término es el término común de los dos binomios elevado al cuadrado; el :@0.304744:0.832653:0.907195:0.832653:0.907195:0.816983:0.304744:0.816983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo término tiene el coeficiente que resulta de la suma algebraica de los dos :@0.304744:0.849249:0.907215:0.849249:0.907215:0.833579:0.304744:0.833579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos no comunes de los binomios; y el tercer término resulta del producto de :@0.304744:0.865845:0.907197:0.865845:0.907197:0.850176:0.304744:0.850176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los mismos dos términos no comunes.:@0.304744:0.882442:0.586644:0.882442:0.586644:0.866772:0.304744:0.866772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo desarrollarías el cubo del binomio   + 1? Explica oralmente.:@0.311168:0.165598:0.799847:0.165598:0.799847:0.149928:0.311168:0.149928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.619276:0.165598:0.626740:0.165598:0.626740:0.149237:0.619276:0.149237:0.000000
Desequilibrio cognitivo:@0.344371:0.139279:0.522126:0.139279:0.522126:0.122378:0.344371:0.122378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mano de un robot:@0.096359:0.453222:0.205969:0.453222:0.205969:0.440401:0.096359:0.440401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 343355732.:@0.091447:0.432051:0.091447:0.356772:0.080059:0.356772:0.080059:0.432051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El gráfico nos permite ver un rectángulo :@0.599110:0.490960:0.870328:0.490960:0.870328:0.476714:0.599110:0.476714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de lados:@0.599110:0.506047:0.655448:0.506047:0.655448:0.491802:0.599110:0.491802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x + :@0.655448:0.506047:0.681264:0.506047:0.681264:0.491173:0.655448:0.491173:0.000000:0.000000:0.000000:0.000000:0.000000
1 y :@0.681264:0.506047:0.704148:0.506047:0.704148:0.491802:0.681264:0.491802:0.000000:0.000000:0.000000:0.000000
x + :@0.704148:0.506047:0.726948:0.506047:0.726948:0.491173:0.704148:0.491173:0.000000:0.000000:0.000000:0.000000
2, cuya área es::@0.726948:0.506047:0.825770:0.506047:0.825770:0.491802:0.726948:0.491802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = (x +  ) (x +  ):@0.599110:0.524693:0.706845:0.524693:0.706845:0.509819:0.599110:0.509819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.651361:0.524693:0.659536:0.524693:0.659536:0.510448:0.651361:0.510448:0.000000
2:@0.694230:0.524693:0.702405:0.524693:0.702405:0.510448:0.694230:0.510448:0.000000
x:@0.415916:0.474249:0.423379:0.474249:0.423379:0.457888:0.415916:0.457888:0.000000
x:@0.369663:0.505824:0.377126:0.505824:0.377126:0.489462:0.369663:0.489462:0.000000
2:@0.369663:0.541796:0.378655:0.541796:0.378655:0.526126:0.369663:0.526126:0.000000
1:@0.462741:0.473779:0.471733:0.473779:0.471733:0.458109:0.462741:0.458109:0.000000
Si calculamos el área de cada sección y :@0.597313:0.639588:0.853489:0.639588:0.853489:0.625343:0.597313:0.625343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las sumamos, tenemos el área de la placa.:@0.597313:0.654675:0.867175:0.654675:0.867175:0.640430:0.597313:0.640430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = x² + x +  x + :@0.597313:0.673321:0.703473:0.673321:0.703473:0.658447:0.597313:0.658447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.672497:0.673321:0.680673:0.673321:0.680673:0.659076:0.672497:0.659076:0.000000
2:@0.703473:0.673321:0.711648:0.673321:0.711648:0.659076:0.703473:0.659076:0.000000
Reduciendo términos semejantes, :@0.597313:0.691967:0.827284:0.691967:0.827284:0.677722:0.597313:0.677722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
queda::@0.597313:0.707055:0.643047:0.707055:0.643047:0.692809:0.597313:0.692809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = x² +  x + :@0.597313:0.725700:0.680673:0.725700:0.680673:0.710826:0.597313:0.710826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.649697:0.725700:0.657872:0.725700:0.657872:0.711455:0.649697:0.711455:0.000000
2:@0.680673:0.725700:0.688848:0.725700:0.688848:0.711455:0.680673:0.711455:0.000000
x:@0.414118:0.646517:0.421582:0.646517:0.421582:0.630155:0.414118:0.630155:0.000000
x:@0.367865:0.678091:0.375328:0.678091:0.375328:0.661730:0.367865:0.661730:0.000000
2:@0.367865:0.714064:0.376858:0.714064:0.376858:0.698394:0.367865:0.698394:0.000000
1:@0.461864:0.647305:0.470857:0.647305:0.470857:0.631635:0.461864:0.631635:0.000000
Otro dispositivo :@0.106529:0.592263:0.216105:0.592263:0.216105:0.578018:0.106529:0.578018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electrónico en el :@0.106529:0.607351:0.221483:0.607351:0.221483:0.593105:0.106529:0.593105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que estudiantes :@0.106529:0.622438:0.217060:0.622438:0.217060:0.608193:0.106529:0.608193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuatorianos han :@0.106529:0.637526:0.225823:0.637526:0.225823:0.623281:0.106529:0.623281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puesto interés de :@0.106529:0.652613:0.226090:0.652613:0.226090:0.638368:0.106529:0.638368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invención es la prótesis :@0.106529:0.667701:0.264587:0.667701:0.264587:0.653456:0.106529:0.653456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de mano.:@0.106529:0.682789:0.169265:0.682789:0.169265:0.668543:0.106529:0.668543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mediante este :@0.106529:0.705005:0.205132:0.705005:0.205132:0.690760:0.106529:0.690760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispositivo, las personas :@0.106529:0.720093:0.269681:0.720093:0.269681:0.705848:0.106529:0.705848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que por alguna :@0.106529:0.735180:0.212488:0.735180:0.212488:0.720935:0.106529:0.720935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razón perdieron una :@0.106529:0.750268:0.245591:0.750268:0.245591:0.736023:0.106529:0.736023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extremidad superior :@0.106529:0.765356:0.245437:0.765356:0.245437:0.751110:0.106529:0.751110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen la esperanza de :@0.106529:0.780443:0.260115:0.780443:0.260115:0.766198:0.106529:0.766198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustituirla para mejorar :@0.106529:0.795531:0.262643:0.795531:0.262643:0.781286:0.106529:0.781286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su calidad de vida.:@0.106529:0.810618:0.228587:0.810618:0.228587:0.796373:0.106529:0.796373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.106529:0.832835:0.179972:0.832835:0.179972:0.817722:0.106529:0.817722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿qué rama :@0.179972:0.832835:0.257334:0.832835:0.257334:0.818590:0.179972:0.818590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ciencia se ocupa :@0.106529:0.847923:0.256430:0.847923:0.256430:0.833677:0.106529:0.833677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de diseñar, construir y :@0.106529:0.863010:0.255557:0.863010:0.255557:0.848765:0.106529:0.848765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
programar a los robots?:@0.106529:0.878098:0.264201:0.878098:0.264201:0.863853:0.106529:0.863853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.556535:0.250102:0.556535:0.250102:0.539635:0.136865:0.539635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.570366:0.262394:0.570366:0.262394:0.553465:0.136865:0.553465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.33.:@0.096359:0.927976:0.142269:0.927976:0.142269:0.917221:0.096359:0.917221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reconocer y calcular productos notables e identificar factores de expresiones algebraicas.:@0.142269:0.927976:0.561445:0.927976:0.561445:0.918004:0.142269:0.918004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunas respuestas:@0.797732:0.176361:0.887709:0.176361:0.887709:0.166389:0.797732:0.166389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000