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📅 May 4, 2026 👤 scraface

May 04, 2026

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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 $\boxed{133}$.
Pregunta: Si $x + y = 9$ y $x^2 + y^2 = 41$, encuentra $xy$.
9^2 = 41 + 2xy \implies 81 = 41 + 2xy \implies 2xy = 40 \implies xy =...
Por lo tanto, el valor de $xy$ es $\boxed{20}$.

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