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Mar 01, 2026

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🔥 Popular Posts

We know the identity:
p^3 + q^3 = (p+q)(p^2 - pq + q^2)
Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \)...
10^2 = 58 + 2pq
= 58 + 2pq
2pq = 42 \quad \Rightarrow \quad pq = 21
p^3 + q^3 = (p+q)(p^2 - pq + q^2) = 10(58 - 21)
p^3 + q^3 = 10 \times 37 = 370
The value of \( p^3 + q^3 \) is:
\boxed{370}

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