已知x^2-xy=60,xy-y^2=40

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已知x^2-xy=60,xy-y^2=40
已知X+Y=3XY,求2X+2Y-XY除以X+Y+2XY的值,要算理.

由X+Y=3XY可得X+Y-XY=2XY,用X+Y-XY替换分母中的2XY,所以(2X+2Y-XY)/(X+Y+2XY)=(2X+2Y-XY)/(2X+2Y-XY)=1

已知x-xy=8,xy-y=-9,求x+y-2xy的值

x-xy=8(1)xy-y=-9(2)则有(1)-(2):X-XY-XY+Y=X+Y-2XY=8-(-9)=17

已知x/y=2,求 [x^2-xy+3xy^2 ] / [ x^2+xy+6y^2]的值

因为x/y=2所以x=2y是[x^2-xy+3y^2]/[x^2+xy+6y^2]吧=(4y^2-2y^2+3y^2)/(4y^2+2y^2+6y^2)=5y^2/12y^2=5/12

已知xy^2=-2,求-xy(x^2y^5-xy^3-y)的值.

-xy(x^2y^5-xy^3-y)=-(xy^2)^3+(xy^2)^2+xy^2=-(-2)^3+4-2=8+4-2=10

已知x-y=4xy,求x-2xy-y分之2x+3xy-2y的值!

因为x-y=4xy所以x-2xy-y=2xy2x+3xy-2y=11xyx-2xy-y分之2x+3xy-2y=5.5

已知(x+1)²+|y-1|=0,求2(xy-5xy²)-(3xy²-xy)得值

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×(

已知x+y=3xy,求2x+2y-xy/x+y+2xy的值、

x+y=3xy,所以2x+2y-xy/x+y+2xy=(2×3xy-xy)/(3xy+2xy)=5/5=1

已知:xy+x=-1,xy-y=-2.

(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

已知x:y=3:2,求(x²+3xy)/(xy+2xy)

答案是3/2你是不是把分母打错了教你个方法因为上下是齐次的直接令x=3y=2带入就行

已知3/(x-y)=1/xy 求(-x-2xy+y)/ (2x+3xy-2y)

3/(x-y)=1/xyx-y=3xyy-z=-3xy原式=[(y-x)-2xy]/[2(x-y)+3xy]=[(-3xy)-2xy]/[2(3xy)+3xy]=-5xy/9xy=-5/9

已知x^2-xy=60,xy-y^2=40,求代数式x^2-y^2和x^-2xy+y^2的值

x^2-xy=60,xy-y^2=40,x^2-y^2=(x^2-xy)+(xy-y^2)=60+40=100x^2-2xy+y^2=(x^2-xy)-(xy-y^2)=60-40=20

已知x^2-xy=60´xy-y^2=40,求代数式x^2-y^2和x^2.-2xy+y^2的

x^2-xy=60为(1)式xy-y^2=40为(2)式则x^2-y^2=(1)+(2)=60+40+100x^2.-2xy+y^2=(1)-(2)=60-40=20再问:为什么再答:==!这个应该显

由已知x+y=-2,xy=3那么2(x+xy)-[(xy-3y)-x]-(-xy)等于多少?

2(x+xy)-[(xy-3y)-x]-(-xy)=2x+2xy-xy+3y+x+xy=3x+3y+2xy=3(x+y)+2xy=3*(-2)+2*3=0

已知x^2-xy=60´xy-y^2=40,求代数式x^2-y^2和x^2.-2xy+y^2的值

∵x²-xy=60;xy-y²=40.x(x-y)=60;y(x-y)=40x-y=60/x;y*60/x=40y/x=2/3y=2/3x;x=3/2yx²-xy=60x

已知x-y=4xy,则2x+3xy-2yx-2xy-y

∵x-y=4xy,∴2x+3xy-2yx-2xy-y=2(x-y)+3xyx-y-2xy=8xy+3xy4xy-2xy=112.故答案为:112.

已知xy为正整数,3xy=2x+3y+5.求xy=?

3xy=2x+3y+5(3y-2)(x-1)=7所以3y-2=7x-1=1得y=3x=2xy=6或3y-2=1x-1=7得y=1x=6xy=6所以xy=6

已知x-y/xy=3,求分式2x+3xy-2y/x-2xy-y的值.

∵x-y/xy=3∴x-y=3xy2x+3xy-2y/x-2xy-y=[2(x-y)+3xy]/[(x-y)-2xy]=(6xy+3xy)/(3xy-2xy)=9xy/(xy)=9

已知x^2-xy=60,xy-y^2=40,求代数式x^2-y^2和2x^2-5xy+3y^2的值

x^2-xy与xy-y^2相比各个式子提取公因式(x-y)求得x/y=3/2两个等式相加就是x^2-y^2=100因式分解(x+y)*(x-y)=100将x=3y/2带入求得y的平方是20可以x的平方

已知xy^2=-2 求-xy(x^2y^5-xy^3-y)

原式=-xy²(x²y^4-xy²-1)∵xy²=-2原式=2((-2)²-(-2)-1)=10