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Home » Don’t Miss This Life-Changing Opportunity: Cameron Impact Scholarship Now Open! - Aurero

Don’t Miss This Life-Changing Opportunity: Cameron Impact Scholarship Now Open! - Aurero

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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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 \( b^2 - bc + c^2 \):
\[ b^2 - bc + c^2 = (b^2 + c^2) - bc = 74 - 35 = 39 \]
\[ b^3 + c^3 = (b + c)(b^2 - bc + c^2) = 12 \cdot 39 = 468 \]
Thus, the value of \( b^3 + c^3 \) is:

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