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

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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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