已知a等于x的三次方减2xy的二次方加一-搜答案-智慧作业帮

A-B=x³+2y³-xy²-(-y³+x³+2xy²)=x³+2y³-xy²+y³-x³

x^3-2x^2y^2+xy^3=x(x^2+2xy^2+y^3)很高兴为您解答,【学习宝典】团队为您答题.请点击下面的【选为满意回答】按钮,

x^2=y+4,所以x^2-y=4y^2=x+4,所以y^2-x=4x^3-2xy+y^3=（x^3-xy）+（y^3-xy）=x（x^2-y）+y（y^-x）=4x+4yx^2=y+4,y^2=x+

x^3y-2x^2y^2+xy^3=x^3y+2x^2y^2+xy^3-4x^2y^2=xy(x^2+2xy+y^2)-4x^2y^2=xy(x+y)^2-4x^2y^2=12×7×7-4×12×12

2x-y=1/3xy=3xy=3=272x^4y-xy^4=(2x-y)xy=1/3×27=9

x³－2x²y＋xy²=x(x²－2xy＋y²)=x(x－y)²

已知A=x³+2y³-xy²,B=-y³+x³+2xy²,其中x等于1\3,y等于2A-B=（x³+2y³-xy

已知x+y=1,则x^3+y^3+3xy=（x+y）(x^2-xy+y^2)+3xy=1×(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=x^2+2xy+y^2=(x+y)^2=1^2

x的三次方y的平方+x的平方y三次方=x²y²(x+y)=(xy)²(x+y)=(-2)²*(-3)=-12

C你可以检验：3A-B=（3x³-2xy²+1）-（x³+xy²-3x²y）=2x³-7xy²+3x²y+3

(2x^4)y³－x³y^4=(x³y³)(2x－y)=(xy)³(2x－y)=4³×(1/16)=4

原式=x(x²-4y²）-2y(x²-4y²）=(x-2y)(x+2y)(x-2y)=(x+2y)(x-2y)²

∵x^2=(-2)^2∴x^2=4∴x=±2∵y^3=-1∴y=-1当x=2时,(xy)^2003=(-2)^2003=-2^2003当x=-2时,(xy)^2003=2^2003

-xy(x²y的五次方-xy的三次方-y)=-x³y的6次方+x²y的4次方+xy²=-（xy²）³+（xy²）²+xy

a=2

原式等于(xy)^2(x+y)将x+y=2,xy=4代入,得原式等于16×2=32

2AB²-C=2(2x²+3xy-y²)*(x²y²/4)-(x³y³/8-x²y^7/4)=x^4y²+3x

X+Y=6,XY=-3x^2*y+x*y^3=xy(x+y^2)=-3(x+y^2)x=6-y,(6-y)y=-3,y^2-6y-3=0(y-3)^2=3+9=12,y=3+2根号(3)或3-2根号(

y-2x=-20102x-y=20102x^4y³-x³y^4=x³y³(2x-y)=(xy)³(2x-y)=10³×2010=201000

由题意：3A-B=3(x^3-2xy^2+1)-(x^3+xy^2-3x^2y)=3x^3-6xy^2+3-x^3-xy^2+3x^2y=2x^3-7xy^2+3x^2y+3