已知1/x-1/y=4,求分式2x+3xy-2y/x-2xy-y的值

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已知1/x-1/y=4,求分式2x+3xy-2y/x-2xy-y的值
已知1/x-1/y=4,求分式2x+3xy-2y/x-2xy-y的值

已知1/x-1/y=4,求分式2x+3xy-2y/x-2xy-y的值
把已知1/x-1/y=4通分得:(y-x)/xy=4,有:y-x=4xy,即
(2x+3xy-2y)/(x-2xy-y)=[2(x-y)+3xy]/(x-y-2xy)=(3xy-8xy)/(-2xy-4xy)=[-5xy]/(-6xy)=5/6