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Home » = 1 \cdot 95 + 30 - Get link 4share

= 1 \cdot 95 + 30 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Use the identity:

📌 We know \( (a + b)^3 = 12^3 = 1728 \). To use the identity, we need \( ab \). From the identity:

📌 = 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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