[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程

[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程
[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程

[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程
[(xy+y²)/(5x²-5xy)+xy+y²]*5x/(x+y)-y/(x-y)
=y(x+y)/5x(x-y)×5x/(x+y)+y(x+y)×5x/(x+y)-y/(x-y)
=y/(x-y)+5xy-y/(x-y)
=5xy

是不是：[(xy+y²)/(5x²-5xy)+xy+y²]*5x/(x+y)-y/(x-y)
原式=[(xy+y²)(5x²-5xy+1)/(5x²-5xy)]*5x/(x+y)-y/(x-y)
={y(x+y)(5x²-5xy+1)/[5x(x-y)]}*5x/(x+y)-y/(x-y)
...

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是不是：[(xy+y²)/(5x²-5xy)+xy+y²]*5x/(x+y)-y/(x-y)
原式=[(xy+y²)(5x²-5xy+1)/(5x²-5xy)]*5x/(x+y)-y/(x-y)
={y(x+y)(5x²-5xy+1)/[5x(x-y)]}*5x/(x+y)-y/(x-y)
=y(5x²-5xy+1)/(x-y)-y/(x-y)
=[y(5x²-5xy+1)-y]/(x-y)
=y(5x²-5xy)/(x-y)
=5xy(x-y)/(x-y)
=5xy

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