Question
Factorise:$a^2 + ab(b + 1) + b^3$
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Answer
$a^2 + ab(b + 1) + b^3$
$= a^2 + ab^2 + ab + b^3$
$= a^2 + ab + ab^2 + b^3$
$= a(a + b) + b^2(a + b)$
$= (a + b)(a + b^2)$
$= a^2 + ab^2 + ab + b^3$
$= a^2 + ab + ab^2 + b^3$
$= a(a + b) + b^2(a + b)$
$= (a + b)(a + b^2)$
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