已知1\/x-1\/y=5求3x+5xy-3y\/x+2xy-y
首先化简通分1\/x+1\/y=5得: (x+y)\/xy=5 即有x+y=5xy 将要求的分式化简: 3x+xy+3y\/x-2xy+y =3x+3y+xy\/x+y-2xy (根据加法交换律) =3(x+y)+xy\/(x+y)-2xy =15xy+xy\/5xy-2xy(将x+y=5xy代入) =16xy\/3xy =16\/3 ...
已知1\/x-1\/y=5,求3x 5xy-3y\/x-3xy-y的值
1\/x-1\/y=5 y-x=5xy (3x+5xy-3y)\/(x-3xy-y)=(3(x-y)+5xy)\/((x-y)-3xy)=(-15xy+5xy)\/(-3xy-3xy)=10\/6 =5\/3
已知1\/x-1\/y=5,求分式3x+5xy-3y\/x-3xy-y的值
解:1\/x-1\/y=5 (x-y)\/xy=-5 x-y=-5xy 带入后式 原式=【3(x-y)+5xy】\/【(x-y)-3xy】=(-10xy)\/(-8xy)=5\/4
已知1\/x-1\/y=5,2x-3xy-2y\/x+2xy-y的值
如有不明白,可以追问。如有帮助,记得采纳,谢谢
已知1\/x-1\/y=5,则2x+3xy-2y\/y+2xy-x的值
1\/x-1\/y=5 (y-x)\/xy=5 y-x=5xy x-y=-5xy (2x+3xy-2y)\/(y+2xy-x)=[2(x-y)+3xy]\/[-(x-y)+2xy]=[-10xy+3xy]\/[5xy-3xy]=-7\/2
1.已知1\/x-1\/y=5,求分式3x+5xy+3y\/x-3xy-y的值;
1.1\/x-1\/y =(y-x)\/xy =5 则y-x=5xy 则有:3x-3y=-15xy x-y-3xy=-8xy 原式=-10xy\/(-8xy)=10\/8 =5\/4 2.x+1\/x=3 则:(x+1\/x)^2 =3^2=9 化简:x^2+1\/x^2+2=9 则x^2+1\/x^2=7
已知1\/x-1\/y=5、求分式3x+5xy-3y\/y-xy-x的值
1\/x-1\/y=(y-x)\/xy=5 y-x=5xy x-y=-5xy 原式=]3(x-y)+5xy]\/[(y-x)-xy]=[3(-5xy)+5xy]\/[(5xy)-xy]=-10xy\/(4xy)=-5\/2
已知1\/x-1\/y=3,求5x+3xy-5y\/x-2xy-y的值
您好, 1\/x-1\/y=3 (Y-X)\/XY=3 Y-X=3XY X-Y=-3XY (x-2xy-y)\/(5x+3xy-5y) =(-3XY-2XY)\/(-15XY+3XY) =-5XY\/-12XY =5\/12 如果满意请采纳哦谢谢啦
已知1\/x-1\/y=5,求分式(3x+5xy-3y)\/(y-xy-x)的值
1\/x-1\/y=5, y-x=5xy (3x+5xy-3y)\/(y-xy-x) =(-15xy+5xy)\/(5xy-xy) =-5\/2
已知X分之1-Y分之1=5,求分式X-3XY-Y分之3X+5XY-Y的值
楼主的题目是1\/x-1\/y=5,然后求 (3X+5XY-Y)\/ (X-3XY-Y)的值吗?1\/x-1\/y=(y-x)\/xy=5,则y-x=5xy,化简得:原式=(3x-y+y-x)\/(-3xy-5xy)= -1\/(4y)