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若1/x-1/y=1,求3y-xy-3x/x-xy-y的值
人气:374 ℃ 时间:2020-05-14 04:16:10
解答
1/x-1/y=1
(y-x)/(xy)=1
y-x=xy
x-y=-xy
(3y-xy-3x)/(x-xy-y)
=[3(y-x)-xy]/[(x-y)-xy]
=(3xy-xy)/(-xy-xy)
=(2xy)/(-2xy)
=-1
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