请问(a^2-ab)/a^2÷(a/b-b/a)如何化简?

题目

请问(a^2-ab)/a^2÷(a/b-b/a)如何化简?

答案

(a^2-ab)/a^2÷(a/b-b/a)
=a(a-b)/a^2÷(a^2-b^2/ab)
=a-b/a÷(a-b)(a+b)/ab
=a-b/a×ab/(a-b)(a+b)
=b/a+b
the end ...