Question

Factorise.
asquare+ab(b+1)+b cube

Answer 1

Answer:

( a + b ^2 ) × ( a + b )

this is the factorisation of your question

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Answer 2

$\red{ a^{2} + ab(b+1) + b^{3} } \\= a^{2} + ab^{2}+ ab + b^{3}\\ a(a+b^{2}) + b(a+b^{2}) \\= (a+b^{2})(a+b)$

Therefore.,

$\red{ Factors \:of \: a^{2} + ab(b+1) + b^{3} }\\\green { =(a+b^{2})(a+b)}$

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