Question 88 (vi)

Factorise the following expression.

$x^{3} y^{2} + x^{2} y^{3} - x y^{4} + x y$

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Solution

We have, $x^{3} y^{2} + x^{2} y^{3} - x y^{4} + x y$
$= x y (x^{2} y + x y^{2} - y^{3} + 1)$

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Question 92 (vi)

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

$9 x^{2} - 1$

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

a^{2} x^{2} + 2 a x + 1

y^{2} - 2 y - 15

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

p^{2} . y^{2} - 2 p y + 1

(- x y - a y)

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