化简(a²+b²/a²-b²-a-b/a+b)÷2ab/（a-b）（a+b）²

化简(a²+b²/a²-b²-a-b/a+b)÷2ab/（a-b）（a+b）²
化简(a²+b²/a²-b²-a-b/a+b)÷2ab/（a-b）（a+b）²

化简(a²+b²/a²-b²-a-b/a+b)÷2ab/（a-b）（a+b）²
(a²+b²/a²-b²-a-b/a+b)÷2ab/（a-b）（a+b）²
=(a²+b²/a²-b²-a-b/a+b)x （a-b）（a+b）²/2ab
=【(a²+b²)（a+b）-(a-b)²（a+b）】/2ab
=(a+b)(a²+b²-a²+2ab-b²)/2ab
=a+b
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