化简 a²-2ab+b²/a²-b²+b/a+b

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化简 a²-2ab+b²/a²-b²+b/a+b
化简 a²-2ab+b²/a²-b²+b/a+b

化简 a²-2ab+b²/a²-b²+b/a+b
(a²-2ab+b²)/(a²-b²)+b/(a+b)
=(a-b)²/[(a+b)(a-b)]+b/(a+b)
=(a-b)/(a+b)+b/(a+b)
=[(a-b)+b]/(a+b)
=a/(a+b)

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