Question 88 (xii)

Factorise the following expression.

$l x + m y + m x + l y$

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Solution

We have, $l x + m y + m x + l y$
$l x + m x + m y + l y = x (l + m) + y (m + l) = (l + m) (x + y)$

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l x + m y + m x + l y

Question 92 (xii)

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

$\frac{x^{2}}{25} - 625$

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

9 x^{2} + 30 x + 25

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

9 y^{2} - 4 x y + \frac{4 x^{2}}{9}

p^{2} - 13 p - 30

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