Factorise: a^3 b-a^2 b+5 a b-5 b - Vidyadip

Question

Factorise:
$a^3 b-a^2 b+5 a b-5 b$

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Answer

$a^3 b-a^2 b+5 a b-5 b$
$=a^2 b(a-1)+5 b(a-1)$
$=(a-1)\left(a^2 b+5 b\right)$
$=(a-1) b\left(a^2+5\right)$
$=b(a-1)\left(a^2+5\right)$

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