原式=[(a+b)(a-b)/ab(a+b)]÷[-(a²-2ab+b²)/2ab]
=[(a-b)/ab]÷[-(a-b)²/2ab]
=-[(a-b)/ab]×[2ab/(a-b)²]
=-2ab(a-b)/[ab(a-b)²]
=-2/(a-b)
原式=[(a+b)(a-b)/ab(a+b)]÷[-(a²-2ab+b²)/2ab]
=[(a-b)/ab]÷[-(a-b)²/2ab]
=-[(a-b)/ab]×[2ab/(a-b)²]
=-2ab(a-b)/[ab(a-b)²]
=-2/(a-b)