Factorise the given algebraic expression:
$x y - p q + q y - p x$

(p - y) (x + q)

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(y - p) (x + q)

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(y - p) (x - q)

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(y - x) (p + q)

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Solution

The correct option is B $(y - p) (x + q)$
$x y - p q + q y - p x$
By suitably rearranging the terms, we get
$(x y - p x) + (q y - p q)$
$= x (y - p) + q (y - p)$
$= (y - p) (x + q)$

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