Question

Factorise the given algebraic expression:
$xy-pq+qy-px$

• A. $(p-y)(x+q)$
• B. $(y-p)(x+q)$
• C. $(y-p)(x-q)$
• D. $(y-x)(p+q)$

Answer 1

The correct option is B $(y-p)(x+q)$

$xy-pq+qy-px$
By suitably rearranging the terms, we get
$(xy-px)+(qy-pq)$
$=x(y-p)+q(y-p)$
$=(y-p)(x+q)$