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Home » = 2 \times 3.14 \times r - DNSFLEX

= 2 \times 3.14 \times r - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question: Solve for \( b \): If \( b + c = 12 \) and \( b^2 + c^2 = 74 \), find \( b^3 + c^3 \).

📌 We know the identities:

📌 \[ b^3 + c^3 = (b + c)(b^2 - bc + c^2) \]

📌 Given \( b + c = 12 \) and \( b^2 + c^2 = 74 \), we can find \( bc \) using:

📌 \[ (b + c)^2 = b^2 + 2bc + c^2 \]

📌 \[ 12^2 = 74 + 2bc \]

📌 \[ 144 = 74 + 2bc \]

📌 \[ 2bc = 70 \]

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