Question

Pls help me simplify thisss

Answer 1

9514 1404 393

Answer:

2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)

Explanation:

Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...

`(a^3+a^3b^2+ab^2+b^3)/(2a(a-b)^2)*(a^2-b^2)/(a+2b)*(a^2+ab-2b^2)/(a+b)*(4a^2)/(a^2+b^2)\\\\=((a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2))/(2a(a-b)^2(a+2b)(a+b)(a^2+b^2))\\\\=(4a^2)/(2a)\cdot((a-b)^2)/((a-b)^2)\cdot(a+2b)/(a+2b)\cdot(a^3+a^3b^2+ab^2+b^3)/(a^2+b^2)\\\\=\boxed{(2a(a^3+a^3b^2+ab^2+b^3))/(a^2+b^2)}`