已知1⼀X-1⼀Y=-2,求3X-5XY-3Y⼀-X+3XY+Y的值

老兄是求:(3X-5XY-3Y)⼀(-X+3XY+Y)的值啊
2024-12-20 07:09:29
推荐回答(3个)
回答1:

因为1/X-1/Y=-2
所以(X-Y)/(XY)=-2
X-Y=-2XY
因为(3X-5XY-3Y)/(-X+3XY+Y)
即[3(X-Y)-5XY]/[-(X-Y)+3XY]
把X-Y=-2XY代入
[(3*-2XY)-5XY]/[(-1*-2XY)+3XY]
=-11/5

回答2:

分子,分母同时除xy
(3/y-5-3/x)/(-1/y+3+1/x)=(6-5)/(3-2)=1

回答3:

你早说啊

解:
(3X-5XY-3Y)/(-X+3XY+Y)
=[XY*(3/Y-3/X-5)]/[XY*(-1/Y+3+1/X)]
=[-3*(-2)-5]/(-2+3)
=1/1
=1