Question

How do you multiply `(a^3 + a^2b^2) (b^4 + a^2)`?

Answer 1

`a^5+a^3b^4+a^4b^2+a^2b^6`

Explanation:

Given that

`(a^3+a^2b^2)(b^4+a^2)`

`=a^2(a+b^2)(a^2+b^4)`

`=a^2(a( a^2+b^4)+b^2(a^2+b^4))`

`=a^2(a^3+ab^4+a^2b^2+b^6)`

`=a^5+a^3b^4+a^4b^2+a^2b^6`