Factorize of the following expressions: a b x^2+(a y-b) x-y - Vidyadip

Question

Factorize of the following expressions:
$a b x^2+(a y-b) x-y$

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Answer

$a b x^2+(a y-b) x-y$
$=\left(a b x^2-b x\right)+(a x y-y)$
$=b x(a x-1)+y(a x-1)$
$=(b x+y)(a x-1)[$ taking $(a x-1)$ as the common factor]

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