116:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la factorización, al igual que en aritmética, no todo polinomio se puede descomponer :@0.293660:0.231357:0.931442:0.231357:0.931442:0.214923:0.293660:0.214923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un producto indicado de dos o más factores distintos de 1; hay expresiones :@0.293660:0.247999:0.931166:0.247999:0.931166:0.231565:0.293660:0.231565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas que solo son divisibles entre la unidad y entre ellas mismas; en consecuencia, :@0.293660:0.264640:0.931530:0.264640:0.931530:0.248207:0.293660:0.248207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no son el producto de otras expresiones algebraicas. Así,       no se puede descomponer :@0.293660:0.281282:0.931085:0.281282:0.931085:0.264848:0.293660:0.264848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.692196:0.281282:0.701454:0.281282:0.701454:0.264876:0.692196:0.264876:0.000000
1:@0.704473:0.280728:0.719806:0.280728:0.719806:0.267012:0.704473:0.267012:0.000000
b:@0.722752:0.281282:0.732010:0.281282:0.732010:0.264876:0.722752:0.264876:0.000000
en dos factores distintos de 1 porque solo es divisible entre       y por la unidad.:@0.293679:0.297924:0.882206:0.297924:0.882206:0.281490:0.293679:0.281490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.725126:0.297924:0.734385:0.297924:0.734385:0.281518:0.725126:0.281518:0.000000
1:@0.738269:0.297369:0.753602:0.297369:0.753602:0.283654:0.738269:0.283654:0.000000
b:@0.757468:0.297924:0.766727:0.297924:0.766727:0.281518:0.757468:0.281518:0.000000
La red de comunicación celular comprende algunos elementos, entre ellos, el de acceso :@0.293679:0.332428:0.931473:0.332428:0.931473:0.315994:0.293679:0.315994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al público (el teléfono celular). En el diseño de un teléfono celular se ha considerado la :@0.293679:0.349070:0.931030:0.349070:0.931030:0.332636:0.293679:0.332636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión para representar el área de su parte rectangular frontal. ¿Es posible encontrar :@0.293679:0.365712:0.931435:0.365712:0.931435:0.349278:0.293679:0.349278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una expresión que represente su largo y otra que represente su ancho?:@0.293679:0.382354:0.808176:0.382354:0.808176:0.365920:0.293679:0.365920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si recordamos los productos notables, observaremos que cuando multiplicamos la suma :@0.293679:0.416858:0.930479:0.416858:0.930479:0.400424:0.293679:0.400424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos términos por su diferencia, obtenemos la diferencia de sus cuadrados. Como la :@0.293679:0.433500:0.930597:0.433500:0.930597:0.417066:0.293679:0.417066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorización es un proceso contrario a la multiplicación, podemos decir que::@0.293679:0.450141:0.850408:0.450141:0.850408:0.433708:0.293679:0.433708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.525444:0.484646:0.532899:0.484646:0.532899:0.468239:0.525444:0.468239:0.000000
2:@0.532811:0.478600:0.538047:0.478600:0.538047:0.469020:0.532811:0.469020:0.000000
       (     )(     ).:@0.538000:0.484664:0.695154:0.484664:0.695154:0.468231:0.538000:0.468231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.541957:0.484110:0.557290:0.484110:0.557290:0.470394:0.541957:0.470394:0.000000
y:@0.561156:0.484664:0.568629:0.484664:0.568629:0.468258:0.561156:0.468258:0.000000
2:@0.568549:0.478600:0.573786:0.478600:0.573786:0.469020:0.568549:0.469020:0.000000
5:@0.577697:0.484110:0.593031:0.484110:0.593031:0.470394:0.577697:0.470394:0.000000
x:@0.601682:0.484664:0.609137:0.484664:0.609137:0.468258:0.601682:0.468258:0.000000
1:@0.613021:0.484110:0.628354:0.484110:0.628354:0.470394:0.613021:0.470394:0.000000
y x:@0.632220:0.484664:0.656665:0.484664:0.656665:0.468258:0.632220:0.468258:0.000000:0.000000:0.000000
2:@0.660548:0.484110:0.675882:0.484110:0.675882:0.470394:0.660548:0.470394:0.000000
y:@0.679747:0.484664:0.687221:0.484664:0.687221:0.468258:0.679747:0.468258:0.000000
Por lo tanto, diremos que la expresión que representa al largo es     :@0.293655:0.519168:0.791590:0.519168:0.791590:0.502735:0.293655:0.502735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.760978:0.519168:0.768433:0.519168:0.768433:0.502762:0.760978:0.502762:0.000000
1:@0.772317:0.518614:0.787651:0.518614:0.787651:0.504898:0.772317:0.504898:0.000000
y:@0.791516:0.519168:0.798989:0.519168:0.798989:0.502762:0.791516:0.502762:0.000000
 y la que representa al ancho es (     ).:@0.293655:0.553673:0.575341:0.553673:0.575341:0.537239:0.293655:0.537239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529397:0.553673:0.536852:0.553673:0.536852:0.537266:0.529397:0.537266:0.000000
2:@0.540736:0.553118:0.556069:0.553118:0.556069:0.539402:0.540736:0.539402:0.000000
y:@0.559934:0.553673:0.567408:0.553673:0.567408:0.537266:0.559934:0.537266:0.000000
La diferencia de dos cuadrados perfectos es igual a dos factores: uno formado por la :@0.305399:0.591826:0.922719:0.591826:0.922719:0.575393:0.305399:0.575393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de sus raíces cuadradas y el otro por la diferencia de esas raíces.:@0.305399:0.608468:0.807521:0.608468:0.807521:0.592035:0.305399:0.592035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.523194:0.635830:0.532452:0.635830:0.532452:0.619424:0.523194:0.619424:0.000000
2:@0.532392:0.629768:0.537629:0.629768:0.537629:0.620187:0.532392:0.620187:0.000000
       (     )(     ):@0.537581:0.635832:0.700571:0.635832:0.700571:0.619398:0.537581:0.619398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.541539:0.635277:0.556872:0.635277:0.556872:0.621561:0.541539:0.621561:0.000000
b:@0.560738:0.635832:0.569997:0.635832:0.569997:0.619425:0.560738:0.619425:0.000000
2:@0.569916:0.629768:0.575153:0.629768:0.575153:0.620187:0.569916:0.620187:0.000000
5:@0.579065:0.635277:0.594398:0.635277:0.594398:0.621561:0.579065:0.621561:0.000000
a:@0.603049:0.635832:0.612308:0.635832:0.612308:0.619425:0.603049:0.619425:0.000000
1:@0.616192:0.635277:0.631525:0.635277:0.631525:0.621561:0.616192:0.621561:0.000000
b a:@0.635391:0.635832:0.663425:0.635832:0.663425:0.619425:0.635391:0.619425:0.000000:0.000000:0.000000
2:@0.667309:0.635277:0.682642:0.635277:0.682642:0.621561:0.667309:0.621561:0.000000
b:@0.686508:0.635832:0.695767:0.635832:0.695767:0.619425:0.686508:0.619425:0.000000
Ejemplo 1:@0.293660:0.675980:0.369443:0.675980:0.369443:0.659310:0.293660:0.659310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza 16    49:@0.293660:0.710484:0.433237:0.710485:0.433237:0.694051:0.293660:0.694050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.379604:0.710484:0.387059:0.710484:0.387059:0.694078:0.379604:0.694078:0.000000
2:@0.387000:0.704421:0.392237:0.704421:0.392237:0.694840:0.387000:0.694840:0.000000
2:@0.396147:0.709931:0.411480:0.709931:0.411480:0.696215:0.396147:0.696215:0.000000
y:@0.433145:0.710485:0.440619:0.710485:0.440619:0.694079:0.433145:0.694079:0.000000
2:@0.440543:0.704421:0.445780:0.704421:0.445780:0.694840:0.440543:0.694840:0.000000
Solución:@0.293660:0.744997:0.359794:0.744997:0.359794:0.728327:0.293660:0.728327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comprobamos que 16  y 49  sean cuadrados perfectos, es decir, calculamos sus raíces :@0.293660:0.779501:0.931188:0.779507:0.931188:0.763073:0.293660:0.763067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.457190:0.779501:0.464645:0.779501:0.464645:0.763095:0.457190:0.763095:0.000000
2:@0.464571:0.773443:0.469808:0.773443:0.469808:0.763862:0.464571:0.763862:0.000000
y:@0.503079:0.779507:0.510553:0.779507:0.510553:0.763101:0.503079:0.763101:0.000000
2:@0.510479:0.773443:0.515716:0.773443:0.515716:0.763862:0.510479:0.763862:0.000000
cuadradas exactas.:@0.293658:0.796149:0.429307:0.796149:0.429307:0.779715:0.293658:0.779715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De 16  es 4  y de 49  es 7 .:@0.293658:0.830653:0.500692:0.830660:0.500692:0.814226:0.293658:0.814219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.336198:0.830653:0.343653:0.830653:0.343653:0.814247:0.336198:0.814247:0.000000
2:@0.343589:0.824596:0.348826:0.824596:0.348826:0.815015:0.343589:0.815015:0.000000
x:@0.381213:0.830660:0.388668:0.830660:0.388668:0.814253:0.381213:0.814253:0.000000
y:@0.445050:0.830660:0.452523:0.830660:0.452523:0.814253:0.445050:0.814253:0.000000
2:@0.452465:0.824596:0.457701:0.824596:0.457701:0.815015:0.452465:0.815015:0.000000
y:@0.490089:0.830660:0.497562:0.830660:0.497562:0.814253:0.490089:0.814253:0.000000
Como tales raíces existen, aplicamos la regla para factorizar::@0.293647:0.865164:0.723554:0.865164:0.723554:0.848730:0.293647:0.848730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16    49    (4:@0.492059:0.899668:0.612947:0.899681:0.612947:0.883247:0.492059:0.883234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.509858:0.899668:0.517313:0.899668:0.517313:0.883262:0.509858:0.883262:0.000000
2:@0.517270:0.893616:0.522507:0.893616:0.522507:0.884035:0.517270:0.884035:0.000000
2:@0.526418:0.899126:0.541751:0.899126:0.541751:0.885411:0.526418:0.885411:0.000000
y:@0.563417:0.899681:0.570890:0.899681:0.570890:0.883275:0.563417:0.883275:0.000000
2:@0.570813:0.893616:0.576050:0.893616:0.576050:0.884035:0.570813:0.884035:0.000000
5:@0.579962:0.899126:0.595295:0.899126:0.595295:0.885411:0.579962:0.885411:0.000000
x    y:@0.612855:0.899681:0.658358:0.899681:0.658358:0.883275:0.612855:0.883275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.623495:0.899126:0.638828:0.899126:0.638828:0.885411:0.623495:0.885411:0.000000
7 )(4    7 ):@0.641976:0.899681:0.728490:0.899681:0.728490:0.883247:0.641976:0.883247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.676784:0.899681:0.684239:0.899681:0.684239:0.883275:0.676784:0.883275:0.000000
2:@0.688123:0.899126:0.703456:0.899126:0.703456:0.885411:0.688123:0.885411:0.000000
y:@0.716212:0.899681:0.723685:0.899681:0.723685:0.883275:0.716212:0.883275:0.000000
Tema 2. Factorización de binomios :@0.073089:0.098522:0.590932:0.098522:0.590932:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles de las expresiones representan la diferencia de dos cuadrados perfectos?:@0.293660:0.166059:0.879399:0.166059:0.879399:0.149625:0.293660:0.149625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.     27   :@0.293660:0.197096:0.386709:0.197090:0.386709:0.180656:0.293660:0.180662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.309012:0.197096:0.318271:0.197096:0.318271:0.180690:0.309012:0.180690:0.000000
3:@0.318202:0.191026:0.323439:0.191026:0.323439:0.181445:0.318202:0.181445:0.000000
2:@0.327349:0.196535:0.342682:0.196535:0.342682:0.182819:0.327349:0.182819:0.000000
b:@0.364347:0.197090:0.373606:0.197090:0.373606:0.180684:0.364347:0.180684:0.000000
3:@0.373531:0.191026:0.378768:0.191026:0.378768:0.181445:0.373531:0.181445:0.000000
b. 4:@0.414136:0.197090:0.439954:0.197090:0.439954:0.180656:0.414136:0.180656:0.000000:0.000000:0.000000:0.000000
a:@0.439867:0.197090:0.449126:0.197090:0.449126:0.180684:0.439867:0.180684:0.000000
2:@0.449059:0.191026:0.454296:0.191026:0.454296:0.181445:0.449059:0.181445:0.000000
2:@0.454250:0.196535:0.469583:0.196535:0.469583:0.182819:0.454250:0.182819:0.000000
1:@0.476811:0.191742:0.485793:0.191742:0.485793:0.175308:0.476811:0.175308:0.000000
9:@0.476811:0.205721:0.485793:0.205721:0.485793:0.189287:0.476811:0.189287:0.000000
b:@0.493027:0.197095:0.502286:0.197095:0.502286:0.180689:0.493027:0.180689:0.000000
2:@0.502226:0.191026:0.507463:0.191026:0.507463:0.181445:0.502226:0.181445:0.000000
 :@0.507415:0.197090:0.511446:0.197090:0.511446:0.180656:0.507415:0.180656:0.000000
c. 512:@0.534621:0.197090:0.576435:0.197090:0.576435:0.180656:0.534621:0.180656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.576334:0.197090:0.583789:0.197090:0.583789:0.180684:0.576334:0.180684:0.000000
3:@0.583722:0.191026:0.588958:0.191026:0.588958:0.181445:0.583722:0.181445:0.000000
1:@0.588912:0.196535:0.604246:0.196535:0.604246:0.182819:0.588912:0.182819:0.000000
1:@0.604154:0.197090:0.613136:0.197090:0.613136:0.180656:0.604154:0.180656:0.000000
d.:@0.655123:0.197090:0.667983:0.197090:0.667983:0.180656:0.655123:0.180656:0.000000:0.000000
a:@0.671914:0.197090:0.681173:0.197090:0.681173:0.180684:0.671914:0.180684:0.000000
2:@0.681108:0.191026:0.686345:0.191026:0.686345:0.181445:0.681108:0.181445:0.000000
2:@0.686297:0.196535:0.701630:0.196535:0.701630:0.182819:0.686297:0.182819:0.000000
100 :@0.701538:0.197090:0.732297:0.197090:0.732297:0.180656:0.701538:0.180656:0.000000:0.000000:0.000000:0.000000
e. 4:@0.775590:0.197090:0.800322:0.197090:0.800322:0.180656:0.775590:0.180656:0.000000:0.000000:0.000000:0.000000
a:@0.800233:0.197090:0.809492:0.197090:0.809492:0.180684:0.800233:0.180684:0.000000
1:@0.809418:0.196535:0.824751:0.196535:0.824751:0.182819:0.809418:0.182819:0.000000
81:@0.824659:0.197090:0.842551:0.197090:0.842551:0.180656:0.824659:0.180656:0.000000:0.000000
b:@0.842459:0.197090:0.851718:0.197090:0.851718:0.180684:0.842459:0.180684:0.000000
2:@0.851664:0.191026:0.856901:0.191026:0.856901:0.181445:0.851664:0.181445:0.000000
a    b  = ?:@0.136439:0.177398:0.214142:0.177398:0.214142:0.160964:0.136439:0.160964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.144715:0.171334:0.149952:0.171334:0.149952:0.161753:0.144715:0.161753:0.000000
2:@0.153862:0.176843:0.169195:0.176843:0.169195:0.163128:0.153862:0.163128:0.000000
2:@0.183128:0.171334:0.188365:0.171334:0.188365:0.161753:0.183128:0.161753:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Red de comunicación.:@0.095576:0.367863:0.242828:0.367863:0.242828:0.352923:0.095576:0.352923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 9 (Ev. 3) Representa relaciones numéricas mediante expresiones algebraicas y opera con y sobre variables.:@0.335185:0.974240:0.916715:0.974240:0.916715:0.962288:0.335185:0.962288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diversas frecuencias de :@0.078672:0.449577:0.232110:0.449577:0.232110:0.434637:0.078672:0.434637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas de radio se utilizan :@0.078672:0.463445:0.245475:0.463445:0.245475:0.448505:0.078672:0.448505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en televisión, radio FM :@0.078672:0.477313:0.226196:0.477313:0.226196:0.462373:0.078672:0.462373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y AM, comunicaciones :@0.078672:0.491181:0.227866:0.491181:0.227866:0.476241:0.078672:0.476241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
militares, teléfonos :@0.078672:0.505049:0.202379:0.505049:0.202379:0.490110:0.078672:0.490110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
celulares, redes :@0.078672:0.518918:0.179793:0.518918:0.179793:0.503978:0.078672:0.503978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inalámbricas  :@0.078672:0.532786:0.166876:0.532786:0.166876:0.517846:0.078672:0.517846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otras aplicaciones  :@0.078672:0.546654:0.210619:0.546654:0.210619:0.531714:0.078672:0.531714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de comunicación. El diseño  :@0.078672:0.560522:0.260804:0.560522:0.260804:0.545582:0.078672:0.545582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y funcionamiento de :@0.078672:0.574390:0.216954:0.574390:0.216954:0.559451:0.078672:0.559451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos sistemas se basan en :@0.078672:0.588259:0.253496:0.588259:0.253496:0.573319:0.078672:0.573319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principios matemáticos :@0.078672:0.602127:0.233732:0.602127:0.233732:0.587187:0.078672:0.587187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el análisis de señales, :@0.078672:0.615995:0.257266:0.615995:0.257266:0.601055:0.078672:0.601055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la teoría de la información :@0.078672:0.629863:0.249316:0.629863:0.249316:0.614923:0.078672:0.614923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la transformación de :@0.078672:0.643731:0.225266:0.643731:0.225266:0.628792:0.078672:0.628792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fourier. La factorización :@0.078672:0.657600:0.233136:0.657600:0.233136:0.642660:0.078672:0.642660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descompone :@0.078672:0.671468:0.168985:0.671468:0.168985:0.656528:0.078672:0.656528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales complejas en :@0.078672:0.685336:0.219521:0.685336:0.219521:0.670396:0.078672:0.670396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
componentes más simples, :@0.078672:0.699204:0.258816:0.699204:0.258816:0.684264:0.078672:0.684264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
facilitando la modulación, :@0.078672:0.713072:0.248171:0.713072:0.248171:0.698133:0.078672:0.698133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demodulación, el filtrado :@0.078672:0.726941:0.243551:0.726941:0.243551:0.712001:0.078672:0.712001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ruido y la mejora de la :@0.078672:0.740809:0.244722:0.740809:0.244722:0.725869:0.078672:0.725869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calidad de la transmisión. :@0.078672:0.754677:0.244388:0.754677:0.244388:0.739737:0.078672:0.739737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta descomposición :@0.078672:0.768545:0.218835:0.768545:0.218835:0.753605:0.078672:0.753605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimiza la eficiencia :@0.078672:0.782413:0.216844:0.782413:0.216844:0.767473:0.078672:0.767473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sistema y mejora la :@0.078672:0.796282:0.228419:0.796282:0.228419:0.781342:0.078672:0.781342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
claridad y precisión de la :@0.078672:0.810150:0.240494:0.810150:0.240494:0.795210:0.078672:0.795210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicación. :@0.078672:0.824018:0.177753:0.824018:0.177753:0.809078:0.078672:0.809078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078672:0.389956:0.231058:0.389956:0.231058:0.374550:0.078672:0.374550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078672:0.405085:0.164166:0.405085:0.164166:0.390145:0.078672:0.390145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e ingeniería:@0.078672:0.420214:0.156127:0.420214:0.156127:0.405274:0.078672:0.405274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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