Factorise: a^2+a b(b+1)+b^3 - Vidyadip

Question

Factorise:
$a^2+a b(b+1)+b^3$

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Answer

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

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