若y-x/xy=3,求分式2x+3xy-2y/x-2xy-y
问题描述:
若y-x/xy=3,求分式2x+3xy-2y/x-2xy-y
答
(Y-X)÷(XY)=3可变形为Y-X=3XY
(2X+3XY-2Y)÷(X-2XY-Y)
=(2X-2Y+3XY)÷(X-Y-2XY)
={2(x-y)+3xy}÷(X-Y-2XY)
={2(3xy)+3xy}÷(3xy-2XY)
=9XY÷XY
=9