[4(xy-1)2-(xy 2)(2-xy)] 四分之一,其中x=

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若|x-1|+|y+3|=0,则1-xy-xy2 =?

|x-1|+|y+3|=0,有|x-1|≥0|y+3|≥0所以必须有|x-1|=0|y+3|=0才可以满足所以x=1y=-3代入1-xy-xy²=1+3-9=-5

若x+y=2,xy=-4,求x2y+xy2+1的值

(x+y)(xy)=x^2y+xy^2=-8原式=-7

已知A=x3-2y3+3x2y+xy2-3xy+4,B=y3-x3-4x2y-3xy-3xy2+3,C=y3+x2y+2

因为A+B+C=x3-2y3+3x2y+xy2-3xy+4+y3-x3-4x2y-3xy-3xy2+3+y3+x2y+2xy2+6xy-6=1,所以,对于x、y、z的任何值A+B+C是常数.

若|x-1|+(y+3)2=0,求1-xy-xy2的值.

由题意得,x-1=0,y+3=0,解得x=1,y=-3,所以,1-xy-xy2=1-1×(-3)-1×(-3)2,=1+3-9,=4-9,=-5.

一个多项式加上2x2y-3xy2-2x+1的2倍等于4x2y+5xy2+3x-2y+5,求这个多项式.

原式=(4x2y+5xy2+3x-2y+5)-2(2x2y-3xy2-2x+1)=4x2y+5xy2+3x-2y+5-4x2y+6xy2+4x-2=11xy2+7x-2y+3.

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

2(xy-5xy2)-(3xy2-xy)=(2xy-10xy2)-(3xy2-xy)=2xy-10xy2-3xy2+xy=(2xy+xy)+(-3xy2-10xy2)=3xy-13xy2,∵(x+1)

已知a^x+4*b^y-1与a平方b^-x是同类项,求代数式5xy平方-2x平方y+3xy平方-4xy2+2x平方y的值

a^x+4*b^y-1与a平方b^-x是同类项则:x+4=2y-1=-x解得:x=-2;y=35xy平方-2x平方y+3xy平方-4xy2+2x平方y=4xy²=4×(-2)×9=-72

计算:3xy(x2y-xy2+xy)-xy2(2x2-3xy+2x)因式分解

3xy(x²y-xy²+xy)-xy²(2x²-3xy+2x)=3x³y²-3x²y³+3x²y²-

如果2x+y=4,xy=3,那么2x2y+xy2的值为______.

∵2x+y=4,xy=3,∴2x2y+xy2=xy(2x+y)=3×4=12.故答案为:12

已知A=x3+3x2y-5xy2+6y3-1,B=y3+2xy2+x2y-2x3+2,C=x3-4x2y+3xy2-7y

A+B+C=(x3+3x2y-5xy2+6y3-1)+(y3+2xy2+x2y-2x3+2)+(x3-4x2y+3xy2-7y3+1)=(1+1-2)x3+(3+1-4)x2y+(-5+2+3)xy2

4x2y-{x2y-「3xy2 – 1/ 2(4x2y-8xy2)+x2y」}-5xy2

答案:2x^2y+2xy^2原式=4x2y-{x2y-[3xy2-2x2y+4xy2+x2y]}-5xy2=4x2y-{x2y-[7xy2-x2y]}-5xy2=4x2y-{x2y-7xy+x2y]}

已知xy=-1,求3xy2(x-x3y2-12

3xy2(x-x3y2-12x2y)=3x2y2-3x4y4-32x3y3,当xy=-1时,原式=3×(-1)2-3×(-1)4-32×(-1)3=32.

若x2y+xy2=30,xy=6,求下列代数式的值:(1)x2+y2;(2)x-y.

因为x^2y+xy^2=30,xy(x+y)=30,xy=6x+y=5所以(x+y)^2=x^2+y^2+2xy=x^2+y^2+12=25所以x^2+y^2=13所以(x-y)^2=x^2+y^2-

2xy平方-【3xy平方-2(x平方y-2分之1xy2)】-2x平方y其中x=-2 y=2分之1

解2xy²-[3xy²-2(x²y-1/2xy²)]-2x²y=2xy²-(3xy²-2x²y+xy²)-2x

因式分解:x2-9a2+12a-4;x2y+3xy2-x-3y;1-x2-2xy-y2;3a2+2b-2ab-3a;x2

x2-9a2+12a-4=x2-[(3a)2-2*3a*2+4]=x2-(3a-2)^2=(x+3a-2)(x-3a+2)x2y+3xy2-x-3y=xy(x+3y)-(x+3y)=(xy-1)(x+

已知A=8x2y-6xy2-3xy,B=7xy2-2xy+5x2y,若A+B-3C=0,求C-A.

由题意得:3C=A+B=8x2y-6xy2-3xy+7xy2-2xy+5x2y=13x2y+xy2-5xy,∴C=13x2y+xy2−5xy3,故:C-A=13x2y+xy2−5xy3-(8x2y-6

当x等于1,y等于2时,求代数式3xy2-【2xy2-2(xy-1.5x2y)】+xy-3x2y的值

解3xy²-[2xy²-2(xy-1.5x²y)]+xy-3x²y=3xy²-(2xy²-2xy+3x²y)+xy-3x²

分解因式:xy2-2xy+2y-4=______.

xy2-2xy+2y-4,=xy(y-2)+2(y-2),=(xy+2)(y-2).

因式分解x3+x2+xy-xy2

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

已知x+2y=5,xy=1.则2x2y+4xy2=______.

∵x+2y=5,xy=1,∴2x2y+4xy2=2xy(x+2y)=2×1×5=10,故答案为:10.