Question

化简(ab+b^2)/(a^2+2ab+b^2/ab)*(a+b)/b^2

Answer 1

(ab+b^2)/(a^2+2ab+b^2/ab)*(a+b)/b^2

=ab(ab+b^2)/(a^2+2ab+b^2)*(a+b)/b^2

=ab^2(a+b)/(a+b)^2*(a+b)/b^2

=ab^2(a+b)^2/[b^2(a+b)^2]

=a