已知1/x-1/y=2010,则分式(x+2xy-y)/(x-y)的值为多少?

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已知1/x-1/y=2010,则分式(x+2xy-y)/(x-y)的值为多少?
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已知1/x-1/y=2010,则分式(x+2xy-y)/(x-y)的值为多少?
已知1/x-1/y=2010,则分式(x+2xy-y)/(x-y)的值为多少?

已知1/x-1/y=2010,则分式(x+2xy-y)/(x-y)的值为多少?
1/x-1/y=2010 等式两边同乘xy得y-x=2010xy即x-y=-2010xy,代入分式中,原式=(-2010xy+2xy)/(-2010xy)=1004/1005