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Home » Unlock Maximum Strength: The Ultimate Bench Press & Dumbbell Workout! - Imagemakers

Unlock Maximum Strength: The Ultimate Bench Press & Dumbbell Workout! - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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Pregunta: Si $x + y = 5$ y $xy = 6$, encuentra el valor de $x^2 + y^2$...
Usamos la identidad:
x^2 + y^2 = (x + y)^2 - 2xy
Sustituyendo los valores dados:
x^2 + y^2 = 5^2 - 2 \times 6 = 25 - 12 = 13
Por lo tanto, el valor de $x^2 + y^2$ es $\boxed{13}$.
Pregunta: Si $a + b = 7$ y $ab = 10$, encuentra $a^3 + b^3$.
a^3 + b^3 = (a + b)^3 - 3ab(a + b)
a^3 + b^3 = 7^3 - 3 \times 10 \times 7 = 343 - 210 = 133
Por lo tanto, el valor de $a^3 + b^3$ es $\boxed{133}$.

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