若(2x-14xy-2y)除以(x-2xy-y)=4,则1/x-1/y=
问题描述:
若(2x-14xy-2y)除以(x-2xy-y)=4,则1/x-1/y=
答
(2x-14xy-2y)除以(x-2xy-y)=4
(2x-14xy-2y)=4(x-2xy-y)
2x+6xy-2y=0
x-y=-3xy
两边同除以xy,得
1/y-1/x=-3
所以
1/x-1/y=3