Question

Factorize : a(a+b)³-3a²b(a+b)

Answer 1

Given Equation is a(a + b)^3 - 3a^2b(a + b)

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

= > a^4 + ab^3 + 3a^2b(a + b) - 3a^2b(a + b)

= > a^4 + ab^3

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

= > a(a + b)(a^2 - ab + b^2).



Hope this helps!

Answer 2

Given equation is a(a+b)^3-3a^2b(a+b) =a(a^3+3ab(a+b))-3a^2b(a+b)

=a^4+ab^3+3a^2b(a+b)-3a^2b(a+b)

=a^4+ab^3=a(a^3+b^3)

=a(a+b) (a^2-ab+b^2)

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