若1/x-1/y=2,求(3x-2xy-3y)/(x-2y-y)的值

若1/x-1/y=2,求(3x-2xy-3y)/(x-2y-y)的值

1/x-1/y=(y-x)/xy=2
y-x=2xy
所以x-y=-2xy
原式=[3(x-y)-2xy]/[(x-y)-2xy]
=[3(-2xy)-2xy]/[(-2xy)-2xy]
=-8xy/(-4xy)
=2