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If $5 p q (p^{2} - q^{2})$ is divided by $2 p (p + q)$ , then quotient is

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\frac{5 q (p + q)}{2}

\frac{5 q (p + q)}{2 p}

\frac{5 q (p - q)}{2}

\frac{5 q (p - q)}{2 p}

answer is B.

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Detailed Solution

5 p q (p^{2} - q^{2}) \div 2 p (p + q)

$\frac{5 p q (p^{2} - q^{2})}{2 p (p + q)} = \frac{5 p q (p + q) (p - q)}{2 p (p + q)} (∵ (a + b) (a - b) = a^{2} - b^{2}))$ $= \frac{5 q (p - q)}{2}$

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