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📅 May 17, 2026 👤 scraface

May 17, 2026

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🔥 Popular Posts

A science fiction writer models the growth of a resource-dependent col...
a + b = 12 \quad \text{and} \quad a^2 + b^2 = 80
Use the identity:
We know \( (a + b)^3 = 12^3 = 1728 \). To use the identity, we need \(...
= 12^2 - 2ab = 144 - 2ab
Solve for \( ab \):
2ab = 144 - 80 = 64 \quad \Rightarrow \quad ab = 32
Now substitute into the formula for \( a^3 + b^3 \):
a^3 + b^3 = 1728 - 3(32)(12) = 1728 - 1152 = 576
\boxed{576}

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