Question 91 (vii)

Factorise the following:

$18 + 11 x + x^{2}$

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Solution

We have, $18 + 11 x + x^{2}$
$= x^{2} + 11 x + 18 = x^{2} + (9 + 2) x + 18 = x^{2} + 9 x + 2 x + 18 = x (x + 9) + 2 (x + 9) = (x + 9) (x + 2)$

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Question 92 (vii)

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

$25 a x^{2} - 25 a$

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

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

x^{2} + 11 x + 18

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