Primero, utilizamos la identidad para la suma de cubos:
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- El área de la superficie se calcula como 2(lw + lh + wh) = 2(8*5 + 8*3 + 5*3) = 2(40 + 24 + 15) = 2(79) = 158 unidades cuadradas.
- #### 158Pregunta: Si $x + y = 6$ y $x^2 + y^2 = 20$, encuentra $x^3 + y^3$.
- Solución:
- x^3 + y^3 = (x + y)(x^2 - xy + y^2)
- Ya conocemos $x + y = 6$ y $x^2 + y^2 = 20$. Para usar la identidad, necesitamos encontrar $xy$. Podemos obtener $xy$ usando el cuadrado de la suma:
- Sustituyendo los valores conocidos:
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