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Home » $ (0.7)^5 = 0.16807 $ - Groen Casting

$ (0.7)^5 = 0.16807 $ - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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, necesitamos encontrar $xy$. Podemos obtener $xy$ usando el cuadrado de la suma:

📌 Sustituyendo los valores conocidos:

📌 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

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