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

问题描述:

[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