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Home » You Won’t Believe What Happened After Chambelanes Disrupted This Town! - Decision Point

You Won’t Believe What Happened After Chambelanes Disrupted This Town! - Decision Point

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 6^2 = 20 + 2xy \implies 36 = 20 + 2xy \implies 2xy = 16 \implies xy = 8

📌 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 $\boxed{72}$.

📌 Pregunta: Si $a + b = 10$ y $a^2 + b^2 = 58$, encuentra $a^3 + b^3$.

📌 Usamos la identidad para la suma de cubos:

📌 a^3 + b^3 = (a + b)(a^2 - ab + b^2)

📌 Sabemos $a + b = 10$ y $a^2 + b^2 = 58$. Para encontrar $ab$, usamos:

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