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Home » You Won’t Believe How Many Carbs Hide in Just One Batch of Popcorn! - Abbey Badges

You Won’t Believe How Many Carbs Hide in Just One Batch of Popcorn! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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 $\boxed{370}$.

📌 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:

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