X的三次方减2X的三次方Y加X乘Y的二次方因式分解-搜答案-智慧作业帮

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）

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

x⁴-2y⁴-2x³y+xy³=(x+y)(x-2y)(x²-xy+y²)

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

xy的三次方-2x²y²+x的三次方y=xy(y²-2xy+x²)=xy(x-y)²

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+

=xy(4x²+4xy+y²)=xy(2x+y)²

x+y的三次方*x+y的二次方=(x+y)^3(x+y)^2=(x+y)^(3+2)=(x+y)^5

x的三次方+8y三次方=(x+2y)(x平方-2xy+4y平方）

x³y-xy³=xy(x²-y²)=xy(x+y)(x-y)

2x³+3x³-4x³=(2+3-4)x³=x³

y=(x-2)^3-x^3y'=3(x-2)^2-3x^2=12(1-x),y'(1)=0,驻点x=1y''=-12y(1)=-2是唯一的极值,是极大值,故也是最大值.

x(x+2y)(x-2y)

将X-ZY看作是一个整体,相应再加减,则系数应为2-7+1,在三次的地方,负负为正.则为负4,-4（x-2y)³+3*4y²,还可以展开得到

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

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

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

17x的9次方,上式为2x的9次方-64x的9次方+81x的9次方