Factorise :

$x (x - a) - y (y - a)$

(x - y) (x + y - a)

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(x + y) (2 x + 2 y - a)

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(2 x - y) (x - y - a)

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(x + y) (x + 2 y - a)

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Solution

The correct option is C $(x - y) (x + y - a)$
$x (x - a) - y (y - a)$
$= x^{2} - a x - y^{2} + a y$
$= x^{2} - y^{2} - a x + a y$
$= (x + y) (x - y) - a (x - y)$
$= (x - y) (x + y - a)$

Suggest Corrections

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Factorise :
$(x + y) (2 x + 5) - (x + y) (x + 3)$

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