x的三次方减去a的三次方-搜答案-拍题作业网

X³+Y³=(X+Y)(X²-XY+Y²)

a³+b³+c³-3abc=(a³+3a²b+3ab²+b³+c³)-(3abc+3a²b+3ab²

(a-b)(a平方+ab+b平方).

A={x|x^2-(a+a^2)x+a^3＜0}B={x|x^2-3x+2＜0}={x|1＜x＜2}x^2-(a+a^2)x+a^3＜0(x-a)(x-a^2)＜0令a＜a^2得a＜0或a＞1此时A=

解题思路：关于幂的运算的题目，详细答案请见解析过程。。解题过程：

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

a³+b³+c³-3abc=(a³+3a²b+3ab²+b³+c³)-(3abc+3a²b+3ab²

=xy(4x²+4xy+y²)=xy(2x+y)²

(x-n)*(x^2+x*n+n^2)

a^3-b^3=a^3-a^2b+a^2b-ab^2+ab^2-b^3=a^2(a-b)+ab(a-b)+b^2(a-b)=(a-b)(a^2+ab+b^2)再给你说下a^3+b^3=a^3+a^2b

x的三次方+8y三次方=(x+2y)(x平方-2xy+4y平方）

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

x³y-xy³=xy(x²-y²)=xy(x+y)(x-y)

x^3＋x^3＝2x^3x^3－x^3＝0a^2•（－a^4）＝－a^6－a^2•（－a^4）＝a^6－x•x^2＝－x^3(－x)^2•x^3＝x^5

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)&

a^3-b^3=a*a^2-b*b^2+a*b^2-a*b^2补上两项,便于化简=a(a^2-b^2)+(a-b)*b^2平方差公式=a(a+b)(a-b)+(a-b)*b^2提取公因子=（a-b)(

a=（√5-1）/22a-1=√54a²-4a=4a²-a=1a²=a＋1∴a³－（a^5＋a^4-2a³-a²-a＋2）/a=a³

17x的9次方,上式为2x的9次方-64x的9次方+81x的9次方

（x+y）^3-x^3-y^3+3xy=（x+y）^3-（x+y)(x²-xy+y²）+3xy=(x+y)(x²+2xy+y²-x²+xy-y

x^3-2x^2+1=0(x-1)(x^2-x-1)=0x-1=0即x=1或x^2-x-1=0x^2-x-1=0(x-1/2)^2=5/4x-1/2=±√5/2x=(1+√5)/2或x=(1-√5)/