已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值

发布时间:2021-03-16 05:52:43

已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值

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已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值(图1)
======以下答案可供参考======
供参考答案1:
1/x-1/y=4,所以y-x=4xy
供参考答案2:
1/x-1/y=4
∴y-x=4xy
(2x+xy-2y)/(x-2xy-y)
=[2(x-y)+xy]/[(x-y)-2xy]
=(-8xy+xy)/(-4xy-2xy)
=-7xy/(-6xy)
=7/6
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