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Home » This Prometheus Movie Twist Will Change Everything You Knew About Sci-Fi Forever! - Abu Waleed Tea

This Prometheus Movie Twist Will Change Everything You Knew About Sci-Fi Forever! - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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:

📌 10^2 = 58 + 2ab \implies 100 = 58 + 2ab \implies 2ab = 42 \implies ab = 21

📌 Sustituimos en la identidad:

📌 a^3 + b^3 = (10)(58 - 21) = 10 \times 37 = 370

📌 Por lo tanto, el valor de $a^3 + b^3$ es $\boxed{370}$.

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