Factorise the expressions and divide them as directed. $5 p q (p^{2} - q^{2}) \div 2 p (p + q)$

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

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\frac{3}{2} p q

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

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

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Solution

The correct option is B $\frac{5}{2} q (p - q)$
$5 p q (p^{2} - q^{2}) \div 2 p (p + q)$
$= \frac{5 p q (p^{2} - q^{2})}{2 p (p + q)}$
$= \frac{5 p q (p - q) (p + q)}{2 p (p + q)}$
$= \frac{5 q}{2} (p - q)$

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