Question

Factories .a2+ab(1+b)+b3

Answer 1

Question:

Factorise: a^2 + ab(1+b) + b3

Solution:

We have;

=> a^2 + ab(1+b) + b3

=> a^2 + ab + ab^2 + b^3

=> (a^2 + ab) + (ab^2 + b^3)

=> a(a+b) + b^2(a+b)

=> (a+b)(a+b^2)

Hence, the factorised form of the given polynomial is: (a+b)(a+b^2)