x加y括号的三次方-搜答案-智慧作业帮

x+y=7x^2+y^2=55(x+y)^2=x^2+y^2+2xy=492xy=49-55=-6,xy=-3（x^3）·（y^3）=(xy）^3=(-3)^3=-27

X³+Y³=(X+Y)(X²-XY+Y²)

令2x平方加3x三次方加1为t,则y=cos三次方t令cost为a,则y=a的三次方.所以导数为3cos平方（2x平方加3x三次方加1）*{-sin（2x平方加3x三次方加1）}*（4x+9x的平方）

6(x-y)^3+15(y-x)^2-9(y-x)^3=6(x-y)^3+15(x-y)^2+9(x-y)^3=15(x-y)^3+15(x-y)^2=15(x-y+1)(x-y)^2

x3+y3=(x+y)(x2-xy+y2)=-18x2-xy+y2=6(x+y)2-3xy=6-3xy=6-9=-3xy=1x2+y2=6+xy=6+1=7再平方x4+2x2y2+y4=49x4+y4

x⁴-2y⁴-2x³y+xy³=(x+y)(x-2y)(x²-xy+y²)

x³+x²y+xy²+y³=x²(x+y)+y²(x+y)=(x+y)(x²+y²)

x+y=1则x^2+y^2+2xy=1因为x^2+y^2=3则xy=-1x^3+y^3=(x+y)(x^2-xy+y^2)=1*(3+1)=4

先分解因式,后乘法.(X^4-Y^4)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X+Y)(X^2+Y^2)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X^3+X^2Y+XY^2+

原式=4(x-y)^3*(-1/8)(x-y)^6=-(1/2)(x-y)^9

7x^3-6x^3y+3x^2y+3x^3+6x^3y-3x^2y-10x^3,其中x=-2010.y=2012=(7x^3+3x^3-10x^3)+(6x^3y-6x^3y)+(3x^2y-3x^2

=xy(4x²+4xy+y²)=xy(2x+y)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

这个是最简了,不能化简

x³y³－2x²y²＋xy＝xy（x²y²－2xy＋1）＝xy（xy－1）²

您好：x的三次方(y-x)的三次方-(x-y)的三次方=x的三次方(y-x)的三次方+(y-x)的三次方=（x³+1）(y-x)³=（x+1）（x²-x+1）(y-x)&

x³-y³-x²y+xy²=(x³-y³)-(x²y-xy²)=(x-y)(x²+xy+y²)-xy

(x+y)^3=x^3+3x^2y+3y^2x+y^3

(x+y)(x^2-xy+y^2)

(x+y)^3=(x+y)^2*(x+y)=(x^2+2xy+y^2)(x+y)=x^3+3x^2y+3xy^2+y^3