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

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Answer 1 · 2018-07-28T14:23:06

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

Given that

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

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

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

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

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

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