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Home » To see if a larger number must divide the product, consider the following cases: - Silent Sales Machine

To see if a larger number must divide the product, consider the following cases: - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Question: Solve for \( b \): If \( b + c = 12 \) and \( b^2 + c^2 = 74...
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 \( bc \)...
\[ (b + c)^2 = b^2 + 2bc + c^2 \]
\[ 12^2 = 74 + 2bc \]
\[ 144 = 74 + 2bc \]
\[ 2bc = 70 \]
\[ bc = 35 \]
Now compute \( b^2 - bc + c^2 \):

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