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lyrics to the song we belong together - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 5Question: If \( p + q = 10 \) and \( p^2 + q^2 = 58 \), find \( p^3 + q^3 \).

📌 Solution: We use the identity \( p^3 + q^3 = (p + q)^3 - 3pq(p + q) \). First, compute \( pq \) using \( (p + q)^2 = p^2 + 2pq + q^2 \). Substituting, \( 10^2 = 58 + 2pq \) gives \( 100 = 58 + 2pq \), so \( pq = 21 \). Then, \( p^3 + q^3 = 10^3 - 3 \cdot 21 \cdot 10 = 1000 - 630 = 370 \). oxed{370}

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