Factorize:

a2 + ab(b + 1) + b3

We have,



At first we’ll take common from the expression


= a2 + ab2 + ab + b3


= a2 + ab + ab2 + b3


= a (a + b) + b2 (a + b)


= (a + b) (a + b2)


Hence,


The given expression can be factorized as:



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