Question 88 (xv)

Factorise the following expression.

$y^{2} + 8 z x - 2 x y - 4 y z$

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Solution

We have, $y^{2} + 8 z x - 2 x y - 4 y z$
$= y^{2} - 2 x y + 8 z x - 4 y z = y (y - 2 x) - 4 z (y - 2 x)$
$= (y - 2 x) (y - 4 z)$

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Question 92 (xv)

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

$\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

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