(x/x-y减y/y-x)除以x+y/xy 初二的分式的运算

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(x/x-y减y/y-x)除以x+y/xy 初二的分式的运算

原式
=[x/(x-y)+y/(x-y)]*xy/(x+y)
=(x+y)(x-y) *xy(x=y)
= xy/(x-y)
如追加其它问题,

[x/(x-y)-y/(y-x)]÷(x+y)/xy
=[x/(x-y)+y/(x-y)]÷(x+y)/xy
=[(x+y)/(x-y)]÷(x+y)/xy
=(x+y)/(x-y)*xy/(x+y)
=xy/(x-y)