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Home » Fastest-Paced Journey Through Charlton Heston’s Movie Magic: The Best of His Career! - Groen Casting

Fastest-Paced Journey Through Charlton Heston’s Movie Magic: The Best of His Career! - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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#### 158Pregunta: Si $x + y = 6$ y $x^2 + y^2 = 20$, encuentra $x^3 +...
Solución:
Primero, utilizamos la identidad para la suma de cubos:
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, n...
Sustituyendo los valores conocidos:
6^2 = 20 + 2xy \implies 36 = 20 + 2xy \implies 2xy = 16 \implies xy =...
Ahora sustituimos de nuevo en la identidad de la suma de cubos:
x^3 + y^3 = (x + y)(x^2 - xy + y^2) = 6(20 - 8) = 6 \times 12 = 72
Por lo tanto, el valor de $x^3 + y^3$ es $\boxed{72}$.

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