Question

A^3+a+a^2+1 2a^2+2ab+ab^2+b^3

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a^3+a^2+ab^2+b^2 a^3+a+a^2b+b

Answer 1

`(a^3+a+a^2+1)/(a^3+a^2+ab^2+b^2) \cdot (2a^2+2ab+ab^2+b^3)/(a^3+a+a^2b+b) =(a(a^2+1)+1(a^2+1))/(a^2(a+1)+b^2(a+1)) \cdot (2a(a+b)+b^2(a+b))/(a(a^2+1)+b(a^2+1)) =\\\\=((a^2+1)(a+1))/((a+1)(a^2+b^2)) \cdot ((a+b)(2a+b^2))/((a^2+1)(a+b)) = (2a+b^2)/(a^2+b^2)`