Question 88 (vii)

Factorise the following expression.

$4 x y^{2} - 10 x^{2} y + 16 x^{2} y^{2} + 2 x y$

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Solution

We have, $4 x y^{2} - 10 x^{2} y + 16 x^{2} y^{2} + 2 x y$
$= 2 \times 2 x y^{2} - 2 \times 5 \times x^{2} y + 2 \times 8 \times x^{2} y^{2} + 2 x y$
$= 2 x y (2 y - 5 x + 8 x y + 1)$

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Question 92 (vii)

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

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