Question 88 (v)

Factorise the following expression.

$3 p q r - 6 p^{2} q^{2} r^{2} - 15 r^{2}$

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Solution

We have, $3 p q r - 6 p^{2} q^{2} r^{2} - 15 r^{2}$
$= 3 p q r - 3 \times 2 p^{2} q^{2} r^{2} - 3 \times 5 r^{2} = 3 r (p q - 2 p^{2} q^{2} r - 5 r)$

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3 p q r - 6 p^{2} q^{2} r^{2} - 15 r^{2}

(3 p q r - 6 p^{2} q^{2} r^{2}) \div 3 p q

Question 92 (v)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$28 a y^{2} - 175 a x^{2}$

a^{2} - 2 a b + b^{2} = (a - b)^{2}

4 a^{2} - 4 a b + b^{2}

a^{2} + 2 a b + b^{2} = (a + b)^{2}

4 x^{2} + 4 x + 1

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