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问题: 分式

已知1/x-1/y=3求分式2x+3xy-2y/x-2xy-y的值

解答:

已知1/x-1/y=3求分式2x+3xy-2y/x-2xy-y的值
y-x=3xy

(2x-2y+3xy)/(x-y-2xy)=(-6xy+3xy)/(-3xy-2xy)
=-3xy/(-5xy)
=3/5