已知1除X-1除Y=3,求分式2X+3XY-2Y/X-2XY-Y

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 06:37:34
已知1除X-1除Y=3,求分式2X+3XY-2Y/X-2XY-Y
xO=0N_^hr0Dκtq[!t1~?OzyeN1W 6ϫj{,@%@5|_W0_9*0̲&?a IC9 2m 2T !JZ`b1PqBo[2[ k%!e:G%nU* Ԅ( ]S@h}kW~z

已知1除X-1除Y=3,求分式2X+3XY-2Y/X-2XY-Y
已知1除X-1除Y=3,求分式2X+3XY-2Y/X-2XY-Y

已知1除X-1除Y=3,求分式2X+3XY-2Y/X-2XY-Y
1/x-1/y=3
通分
(y-x)/xy=3
y-x=3xy
所以x-y=-3xy
原式=[2(x-y)+3xy]/[(x-y)-2xy]
=[2(-3xy)+3xy]/[(-3xy)-2xy]
=(-3xy)/(-5xy)
=3/5

1/x-1/y=3
(y-x)/xy=3
y-x=3xy
x-y=-3xy
(2x+3xy-2y)/(x-2xy-y)
=[2(x-y)+3xy]/(x-y-2xy)
=[2*(-3xy)+3xy]/(-3xy-2xy)
=(-3xy)/(-5xy)
=3/5

3/5