Question
Factorise: $a b^2-b c^2-a b+c^2 $
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Answer
$a b^2-b c^2-a b+c^2 $
$a b^2-a b-b c^2+c^2$
$=a b(b-1)-c^2(b-1)$
$=(b-1)\left(a b-c^2\right)$
$a b^2-a b-b c^2+c^2$
$=a b(b-1)-c^2(b-1)$
$=(b-1)\left(a b-c^2\right)$
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