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

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Solution

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

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

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Factorise the expressions and divide them as directed.

(i) (y² + 7y + 10) ÷ (y + 5)

(ii) (m² − 14m − 32) ÷ (m + 2)

(iii) (5p² − 25p + 20) ÷ (p − 1)

(iv) 4yz(z² + 6z − 16) ÷ 2y(z + 8)

(v) 5pq(p² − q²) ÷ 2p(p + q)

(vi) 12xy(9x² − 16y²) ÷ 4xy(3x + 4y)

(vii) 39y³(50y²− 98) ÷ 26y²(5y+ 7)

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