已知x y=1,xy=-2分之一,利用因式分解

1/x-1/y=3等号左边通分,得(y-x)/(xy)=3故x-y=-3xy代入分式[2x+3xy-2y]/[x-2xy-y]=[2(x-y)+3xy]/[(x-y)-2xy]=(-6xy+3xy)/

xy^2*(-x^2y^2)*（1/2xy^3)^2=xy^2*(-x^2y^2)*（1/4x²y^6)=xy^2*(x^4y^8)*(-1/4)=(-1/4)*xy²*(xy&#

这个比较简单了：由已知条件得：x+y=3xy那么：x-2xy+y=3xy-2xy=xy2x+3xy+2y=6xy+3xy=9xy所以答案是：9再问：x分之一+y分之一=3为什么等于x+y=3xy再答：

(3x-5xy+3y)/(x+xy+y)分式上下同除xy,得,(3/y-5+3/x)/(1/y+1+1/x)=1/3再问：太给力了，你的回答完美解决了我的问题！

x分之一-y分之一=2005（y-x）/xy=2005y-x=2005xy2x+6016xy-2y分之-x+xy+y=[(y-x)+xy]/[6016xy-2(y-x)]=(2005xy+xy)/(6

14

1/x--1/y=3,化简y--x=3xy(2x-3xy-2y)/(x-2xy-y)=[-2(y-x)-3xy]/(x-y-2xy)=-9xy/-5xy=9/5

解(x+1)平方+/y-1/=0∴x+1=0,y-1=0∴x=-1,y=1∴2(xy-5xy平方)-(3xy平方-xy)=(2xy+xy)+(-10xy平方-3xy平方)=3xy-13xy平方=3×(

1/2x²+xy+1/2y²=1/2(x²+2xy+y²)=1/2(x+y)²=1/2

[2x+14xy-2y]/[3x-2xy-3y]=(2/y+14-2/x)/(3/y-2-3/x)分子分母同时除以xy=[-2(1/x-1/y)+14]/[-3(1/x-1/y)-2]=(-6+14)

（1）∵xy+x=-1①，xy-y=-2②，∴①-②得x+y=1；（2）先把xy+x=-1，xy-y=-2的值代入代数式，得原式=-x-[2y-1+3x]+2[x+4]=-x-2y+1-3x+2x+8

∵x分之1-y分之1=3∴y分之1-x分之1=-3(x-2xy-y)分之(3x-5xy-3y)分子分母同时除以xy得=(y分之1-2-x分之1)分之(x分之3-5-y分之3)=[(y分之1-x分之1)

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

xx+2xy-yy=-3两式相加即可

x+y=6两边同时平方得x²+2xy+y²=36把xy=-2代入上式得x²+y²=401/x²+1/y²=y²/(x²y

1/x+1/y=（x+y)/xy=5x+y=5xy所以原式=[2(x+y)-3xy]÷[(x+y)+2xy]=[2(5xy)-3xy]÷[(5xy)+2xy]=7xy÷7xy=1再问：1/x+1/y=

1/x+1/y=(x+y)/xy=5==>x+y=5xy所以2x-3xy+2y=2(x+y)-3xy=2*5xy-3xy=7xyx+2xy+y=5xy+2xy=7xy所以2x-3xy+2y除以x+2x

1/2x^2+xy+1/2y^2=8同乘以2x^2+2xy+y^2=16两边减去4xyx^2-2xy+y^2=16-4×3＝4整理即得（x-y)^2=4

1/x-1/y=2(y-x)/xy=3y-x=3xyx-y=-3xy原式=[2(x-y)-14xy]/[(x-y)-2xy]=[2(-3xy)-14xy]/[(-3xy)-2xy]=-20xy/(-5

选择题最好的方法：设X=2,Y=1或X=-2,Y＝-1,则1/X+1/Y＝1/2+1＝1.5或1/X+1/Y＝－（1/2+1）＝-1.5