Question 88 (xiv)

Factorise the following expression.

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

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Solution

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

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