100:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 2:@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
Multiplicación de monomios  :@0.305293:0.069842:0.672392:0.069842:0.672392:0.042186:0.305293:0.042186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y polinomios:@0.305293:0.096253:0.467222:0.096253:0.467222:0.068597:0.305293:0.068597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que las expresiones algebraicas que se forman a partir de la unión :@0.304744:0.226156:0.907178:0.226156:0.907178:0.210486:0.304744:0.210486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos o más variables y constantes, vinculadas a través de operaciones de suma, :@0.304744:0.242752:0.907108:0.242752:0.907108:0.227082:0.304744:0.227082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resta o multiplicación, se denominan polinomios.:@0.304744:0.259349:0.665183:0.259349:0.665183:0.243679:0.304744:0.243679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a ver cómo se multiplican monomios y polinomio.:@0.304744:0.283067:0.725754:0.283067:0.725754:0.267398:0.304744:0.267398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para una competencia de  robots, un estudiante creó un  robot manipulador :@0.304744:0.306786:0.907180:0.306786:0.907180:0.291117:0.304744:0.291117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de forma prismática, cuya cara frontal es cuadrangular y sus caras laterales son :@0.304744:0.323383:0.907088:0.323383:0.907088:0.307713:0.304744:0.307713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectangulares. Si uno de los lados del rectángulo de las caras laterales es 1 :@0.304744:0.339979:0.846496:0.339979:0.846496:0.324309:0.304744:0.324309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.846404:0.339979:0.868701:0.339979:0.868701:0.323618:0.846404:0.323618:0.000000:0.000000
 más :@0.868701:0.339979:0.907012:0.339979:0.907012:0.324309:0.868701:0.324309:0.000000:0.000000:0.000000:0.000000:0.000000
grande que el otro lado, ¿cuál es la expresión algebraica que expresa en forma :@0.304744:0.356576:0.907125:0.356576:0.907125:0.340906:0.304744:0.340906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproximada el volumen del robot?:@0.304744:0.373172:0.556959:0.373172:0.556959:0.357502:0.304744:0.357502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lo primero que hacemos es esquematizar la forma del robot.:@0.304744:0.396891:0.750335:0.396891:0.750335:0.381221:0.304744:0.381221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.304744:0.420610:0.320886:0.420610:0.320886:0.404940:0.304744:0.404940:0.000000:0.000000:0.000000:0.000000
Como no conocemos el valor de ninguna de las aristas, asignamos la letra   como :@0.304744:0.505362:0.907114:0.505362:0.907114:0.489692:0.304744:0.489692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.848525:0.505362:0.855988:0.505362:0.855988:0.489001:0.848525:0.489001:0.000000
medida de las aristas de las caras cuadrangulares. De acuerdo con el enunciado, la :@0.304744:0.521958:0.907031:0.521958:0.907031:0.506289:0.304744:0.506289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arista más larga de las caras rectangulares es 1 :@0.304744:0.538555:0.630841:0.538555:0.630841:0.522885:0.304744:0.522885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.629883:0.538555:0.651996:0.538555:0.651996:0.522194:0.629883:0.522194:0.000000:0.000000
 más que la corta, por lo tanto, mide :@0.651812:0.538555:0.907051:0.538555:0.907051:0.522885:0.651812:0.522885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.304744:0.555151:0.312207:0.555151:0.312207:0.538790:0.304744:0.538790:0.000000
 + 1.:@0.312023:0.555151:0.342539:0.555151:0.342539:0.539481:0.312023:0.539481:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.578870:0.308779:0.578870:0.308779:0.563200:0.304744:0.563200:0.000000
Para calcular el volumen de este prisma, consideramos la cara cuadrangular :@0.304744:0.670206:0.907104:0.670206:0.907104:0.654536:0.304744:0.654536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como base y calculamos su área, que multiplicaremos luego con la altura para  :@0.304744:0.686802:0.907125:0.686802:0.907125:0.671132:0.304744:0.671132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener el volumen.:@0.304744:0.703398:0.453213:0.703398:0.453213:0.687729:0.304744:0.687729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.306576:0.725890:0.315698:0.725890:0.315698:0.709529:0.306576:0.709529:0.000000
x xx:@0.336005:0.725890:0.384765:0.725890:0.384765:0.709529:0.336005:0.709529:0.000000:0.000000:0.000000:0.000000
(:@0.370133:0.725890:0.375017:0.725890:0.375017:0.710220:0.370133:0.710220:0.000000
1):@0.400392:0.725890:0.412078:0.725890:0.412078:0.710220:0.400392:0.710220:0.000000:0.000000
=⋅ ⋅:@0.321129:0.726568:0.369188:0.726568:0.369188:0.710995:0.321129:0.710995:0.000000:0.000000:0.000000:0.000000
+:@0.388667:0.726568:0.398783:0.726568:0.398783:0.710995:0.388667:0.710995:0.000000
Aplicamos la propiedad de multiplicación de bases iguales de la potenciación.:@0.304744:0.754643:0.877510:0.754643:0.877510:0.738974:0.304744:0.738974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.306576:0.779625:0.315698:0.779625:0.315698:0.763263:0.306576:0.763263:0.000000
x:@0.336005:0.779625:0.343469:0.779625:0.343469:0.763263:0.336005:0.763263:0.000000
x:@0.366577:0.779625:0.374040:0.779625:0.374040:0.763263:0.366577:0.763263:0.000000
(:@0.359398:0.779625:0.364282:0.779625:0.364282:0.763955:0.359398:0.763955:0.000000
1):@0.389657:0.779625:0.401346:0.779625:0.401346:0.763955:0.389657:0.763955:0.000000:0.000000
2:@0.345107:0.771964:0.350319:0.771964:0.350319:0.762882:0.345107:0.762882:0.000000
=:@0.321129:0.780302:0.331246:0.780302:0.331246:0.764729:0.321129:0.764729:0.000000
⋅:@0.353857:0.780302:0.358464:0.780302:0.358464:0.764729:0.353857:0.764729:0.000000
+:@0.377923:0.780302:0.388040:0.780302:0.388040:0.764729:0.377923:0.764729:0.000000
Aplicamos la propiedad distributiva y obtenemos el volumen requerido.:@0.304729:0.808378:0.831623:0.808378:0.831623:0.792708:0.304729:0.792708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.306576:0.833360:0.315698:0.833360:0.315698:0.816999:0.306576:0.816999:0.000000
x:@0.336005:0.833360:0.343469:0.833360:0.343469:0.816999:0.336005:0.816999:0.000000
x:@0.368770:0.833360:0.376233:0.833360:0.376233:0.816999:0.368770:0.816999:0.000000
3:@0.345107:0.825698:0.350319:0.825698:0.350319:0.816617:0.345107:0.816617:0.000000
2:@0.377883:0.825698:0.383094:0.825698:0.383094:0.816617:0.377883:0.816617:0.000000
=:@0.321129:0.834038:0.331246:0.834038:0.331246:0.818465:0.321129:0.818465:0.000000
+:@0.354428:0.834038:0.364545:0.834038:0.364545:0.818465:0.354428:0.818465:0.000000
Cuando  multiplicamos  monomios  entre  sí,  multiplicamos sus  coeficientes, :@0.319826:0.869855:0.891781:0.869855:0.891781:0.854185:0.319826:0.854185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y obtenemos la parte literal al aplicar la propiedad de la potenciación de :@0.316472:0.886451:0.895116:0.886451:0.895116:0.870782:0.316472:0.870782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de bases iguales.:@0.316472:0.903048:0.512336:0.903048:0.512336:0.887378:0.316472:0.887378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :3:@0.311726:0.177528:0.367093:0.177528:0.367093:0.161859:0.311726:0.161859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.327999:0.177528:0.336771:0.177528:0.336771:0.161167:0.327999:0.161167:0.000000
x:@0.367950:0.177528:0.375414:0.177528:0.375414:0.161167:0.367950:0.161167:0.000000
x:@0.412029:0.177528:0.419493:0.177528:0.419493:0.161167:0.412029:0.161167:0.000000
x:@0.453805:0.177528:0.461268:0.177528:0.461268:0.161167:0.453805:0.161167:0.000000
4:@0.401036:0.177528:0.410029:0.177528:0.410029:0.161859:0.401036:0.161859:0.000000
2:@0.443549:0.177528:0.452542:0.177528:0.452542:0.161859:0.443549:0.161859:0.000000
9, ¿a qué es igual 2 ? :@0.478037:0.177528:0.639018:0.177528:0.639018:0.161859:0.478037:0.161859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.333967:0.179532:0.339178:0.179532:0.339178:0.170451:0.333967:0.170451:0.000000
4:@0.377471:0.169867:0.382683:0.169867:0.382683:0.160786:0.377471:0.160786:0.000000
2:@0.421129:0.169867:0.426341:0.169867:0.426341:0.160786:0.421129:0.160786:0.000000
−:@0.348154:0.178206:0.358271:0.178206:0.358271:0.162633:0.348154:0.162633:0.000000
−:@0.387423:0.178206:0.397540:0.178206:0.397540:0.162633:0.387423:0.162633:0.000000
+:@0.430660:0.178206:0.440777:0.178206:0.440777:0.162633:0.430660:0.162633:0.000000
−:@0.465156:0.178206:0.475273:0.178206:0.475273:0.162633:0.465156:0.162633:0.000000
 :@0.490491:0.183821:0.494527:0.183821:0.494527:0.168151:0.490491:0.168151:0.000000
P1:@0.615504:0.177528:0.627961:0.177528:0.627961:0.161167:0.615504:0.161167:0.000000:0.000000
Explica:@0.639018:0.177528:0.695480:0.177528:0.695480:0.160628:0.639018:0.160628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cómo lo calculaste. :@0.695480:0.177528:0.843435:0.177528:0.843435:0.161859:0.695480:0.161859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.140208:0.522686:0.140208:0.522686:0.123307:0.344931:0.123307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523753:0.606211:0.531216:0.606211:0.531216:0.589850:0.523753:0.589850:0.000000
x:@0.558747:0.639529:0.566210:0.639529:0.566210:0.623167:0.558747:0.623167:0.000000
x + :@0.634208:0.619558:0.659288:0.619558:0.659288:0.603196:0.634208:0.603196:0.000000:0.000000:0.000000:0.000000
1:@0.659288:0.619558:0.668281:0.619558:0.668281:0.603888:0.659288:0.603888:0.000000
En el estudio de las :@0.106213:0.795697:0.237636:0.795697:0.237636:0.781452:0.106213:0.781452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de la :@0.106213:0.810784:0.229611:0.810784:0.229611:0.796539:0.106213:0.796539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación de :@0.106213:0.825872:0.218572:0.825872:0.218572:0.811627:0.106213:0.811627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales, :@0.106213:0.840960:0.214332:0.840960:0.214332:0.826714:0.106213:0.826714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se mencionó que: :@0.106213:0.856047:0.229209:0.856047:0.229209:0.841802:0.106213:0.841802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xx:@0.110255:0.883277:0.143236:0.883277:0.143236:0.867081:0.110255:0.867081:0.000000:0.000000
x:@0.172751:0.883277:0.180139:0.883277:0.180139:0.867081:0.172751:0.867081:0.000000
xx:@0.110255:0.905647:0.140810:0.905647:0.140810:0.889451:0.110255:0.889451:0.000000:0.000000
a:@0.166530:0.905647:0.175706:0.905647:0.175706:0.889451:0.166530:0.889451:0.000000
x:@0.198708:0.905647:0.206096:0.905647:0.206096:0.889451:0.198708:0.889451:0.000000
ax:@0.243382:0.905647:0.259890:0.905647:0.259890:0.889451:0.243382:0.889451:0.000000:0.000000
(:@0.126308:0.905647:0.131142:0.905647:0.131142:0.890136:0.126308:0.890136:0.000000
):@0.176673:0.905647:0.181507:0.905647:0.181507:0.890136:0.176673:0.890136:0.000000
n:@0.119480:0.875693:0.124935:0.875693:0.124935:0.866307:0.119480:0.866307:0.000000
m:@0.144873:0.875693:0.153267:0.875693:0.153267:0.866307:0.144873:0.866307:0.000000
nm:@0.181980:0.875693:0.201728:0.875693:0.201728:0.866307:0.181980:0.866307:0.000000:0.000000
n:@0.119480:0.898060:0.124935:0.898060:0.124935:0.888674:0.119480:0.888674:0.000000
m:@0.142441:0.898060:0.150835:0.898060:0.150835:0.888674:0.142441:0.888674:0.000000
nm:@0.207944:0.898060:0.227692:0.898060:0.227692:0.888674:0.207944:0.888674:0.000000:0.000000
n:@0.261733:0.898060:0.267188:0.898060:0.267188:0.888674:0.261733:0.888674:0.000000
⋅:@0.128289:0.883948:0.132849:0.883948:0.132849:0.868532:0.128289:0.868532:0.000000
=:@0.158351:0.883948:0.168366:0.883948:0.168366:0.868532:0.158351:0.868532:0.000000
+:@0.154356:0.906311:0.164370:0.906311:0.164370:0.890896:0.154356:0.890896:0.000000
=:@0.184308:0.906311:0.194323:0.906311:0.194323:0.890896:0.184308:0.890896:0.000000
+:@0.231207:0.906311:0.241222:0.906311:0.241222:0.890896:0.231207:0.890896:0.000000
+:@0.187316:0.876082:0.193120:0.876082:0.193120:0.867148:0.187316:0.867148:0.000000
+:@0.213280:0.898449:0.219084:0.898449:0.219084:0.889515:0.213280:0.889515:0.000000
Recuerda que...:@0.136265:0.770670:0.258346:0.770670:0.258346:0.753770:0.136265:0.753770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial, (2020).:@0.927938:0.481857:0.927938:0.410033:0.916550:0.410033:0.916550:0.481857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial, (2020).:@0.927938:0.635351:0.927938:0.563526:0.916550:0.563526:0.916550:0.635351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los comerciantes de :@0.106529:0.173461:0.247147:0.173461:0.247147:0.159216:0.106529:0.159216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los mercados y plazas :@0.106529:0.188549:0.254250:0.188549:0.254250:0.174303:0.106529:0.174303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no utilizan calculadoras :@0.106529:0.203636:0.266364:0.203636:0.266364:0.189391:0.106529:0.189391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para realizar sus :@0.106529:0.218724:0.215169:0.218724:0.215169:0.204479:0.106529:0.204479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuentas. Si bien sus :@0.106529:0.233811:0.238957:0.233811:0.238957:0.219566:0.106529:0.219566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas son :@0.106529:0.248899:0.223863:0.248899:0.223863:0.234654:0.106529:0.234654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básicas, las manejan :@0.106529:0.263987:0.244201:0.263987:0.244201:0.249741:0.106529:0.249741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con mucha prolijidad :@0.106529:0.279074:0.252458:0.279074:0.252458:0.264829:0.106529:0.264829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y exactitud.:@0.106529:0.294162:0.182734:0.294162:0.182734:0.279917:0.106529:0.279917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.137734:0.250102:0.137734:0.250102:0.120833:0.136865:0.120833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.151564:0.262394:0.151564:0.262394:0.134663:0.136865:0.134663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.145489:0.368490:0.235030:0.368490:0.235030:0.353377:0.145489:0.353377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Mecatrónica:@0.137833:0.383577:0.235600:0.383577:0.235600:0.368465:0.137833:0.368465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En Ecuador, estudiantes :@0.106171:0.409352:0.258683:0.409352:0.258683:0.395107:0.106171:0.395107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
universitarios de la :@0.106171:0.424440:0.225766:0.424440:0.225766:0.410194:0.106171:0.410194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especialidad electrónica :@0.106171:0.439527:0.260945:0.439527:0.260945:0.425282:0.106171:0.425282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mecatrónica elaboran :@0.106171:0.454615:0.258048:0.454615:0.258048:0.440370:0.106171:0.440370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
robots que son :@0.106171:0.469703:0.205228:0.469703:0.205228:0.455457:0.106171:0.455457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controlados a través de :@0.106171:0.484790:0.255567:0.484790:0.255567:0.470545:0.106171:0.470545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
celulares. :@0.106171:0.499878:0.167133:0.499878:0.167133:0.485633:0.106171:0.485633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos estudiantes :@0.106171:0.522094:0.218191:0.522094:0.218191:0.507849:0.106171:0.507849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crean sus robots con el :@0.106171:0.537182:0.253927:0.537182:0.253927:0.522937:0.106171:0.522937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propósito de competir :@0.106171:0.552269:0.251950:0.552269:0.251950:0.538024:0.106171:0.538024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ferias científicas. :@0.106171:0.567357:0.229499:0.567357:0.229499:0.553112:0.106171:0.553112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de las categorías de :@0.106171:0.589574:0.262553:0.589574:0.262553:0.575328:0.106171:0.575328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
competencia es el fútbol.:@0.106171:0.604661:0.264313:0.604661:0.264313:0.590416:0.106171:0.590416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.126693:0.343979:0.271644:0.343979:0.271644:0.327078:0.126693:0.327078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.32. :@0.096359:0.940021:0.144696:0.940021:0.144696:0.929266:0.096359:0.929266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular expresiones numéricas y algebraicas usando las operaciones básicas y las propiedades algebraicas en  .:@0.144696:0.940021:0.668982:0.940021:0.668982:0.930049:0.144696:0.930049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.658475:0.940390:0.666942:0.940390:0.666942:0.929187:0.658475:0.929187:0.000000
Robot manipulador:@0.106364:0.720775:0.223846:0.720775:0.223846:0.707955:0.106364:0.707955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 289622906.:@0.092073:0.702859:0.092073:0.627580:0.080685:0.627580:0.080685:0.702859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.320705:0.192689:0.328293:0.192689:0.328293:0.181009:0.320705:0.181009:0.000000
−:@0.350738:0.192689:0.358325:0.192689:0.358325:0.181009:0.350738:0.181009:0.000000
+:@0.382346:0.192689:0.389933:0.192689:0.389933:0.181009:0.382346:0.181009:0.000000
−:@0.409324:0.192689:0.416911:0.192689:0.416911:0.181009:0.409324:0.181009:0.000000
x:@0.336129:0.192180:0.341727:0.192180:0.341727:0.179909:0.336129:0.179909:0.000000
x:@0.368359:0.192180:0.373957:0.192180:0.373957:0.179909:0.368359:0.179909:0.000000
x:@0.400797:0.192180:0.406394:0.192180:0.406394:0.179909:0.400797:0.179909:0.000000
6:@0.328155:0.192180:0.334899:0.192180:0.334899:0.180428:0.328155:0.180428:0.000000
8:@0.360385:0.192180:0.367129:0.192180:0.367129:0.180428:0.360385:0.180428:0.000000
4:@0.392546:0.192180:0.399290:0.192180:0.399290:0.180428:0.392546:0.180428:0.000000
18:@0.418100:0.192180:0.431451:0.192180:0.431451:0.180428:0.418100:0.180428:0.000000:0.000000
4:@0.343281:0.186434:0.347190:0.186434:0.347190:0.179623:0.343281:0.179623:0.000000
2:@0.375199:0.186434:0.379108:0.186434:0.379108:0.179623:0.375199:0.179623:0.000000