若1/x-1/y=1,求3y-xy-3x/x-xy-y的值
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若1/x-1/y=1,求3y-xy-3x/x-xy-y的值
![若1/x-1/y=1,求3y-xy-3x/x-xy-y的值](/uploads/image/z/18566804-20-4.jpg?t=%E8%8B%A51%2Fx-1%2Fy%3D1%2C%E6%B1%823y-xy-3x%2Fx-xy-y%E7%9A%84%E5%80%BC)
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
(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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