因式分解 X的3次方 6X的2次方 11X 6
来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 05:44:46
6xy³-9x²y²-y^4=-y²(-6xy+9x²+y²)=-y²[(3x)²+2×3x×(-y)+(-y)&sup
原式=xy(4x²+4xy+y²)=xy(2x+y)²
x³-y³=x³-x²y+x²y-xy²+xy²-y³=x²(x-y)+xy(x-y)+y²(x-y
(x-y)²+3(y-x)=(x-y)²-3(x-y)=(x-y)[(x-y)-3]=(x-y)(x-y-3)
x^4+x^3-2=x^4-x^3+2x^3-2=x^3(x-1)+2(x^3-1)=x^3(x-1)+2(x-1)(x^2+x+1)=(x-1)[x^3+2(x^2+x+1)]=(x-1)(x^3+
x^3-3x+2=x^3-3x+3-1=(x^3-1)-3(x-1)=(x-1)(x^2+x+1)-3(x-1)=(X-1)(x^2+x-2)=(x-1)^2(x+2)
x^3-x=x(x^2-1)=x(x+1)(x-1)
根据x^n-1=(x-1)(1+x+x^2+..+x^(n-1))得原式=(x^18-x^3)/(x^3-1)+23=(x^18+22x^3-23)/(x^3-1)
x^3-x=x(x^2-1)=x(x+1)(x-1)
6(x-y)的3次方+15(y-x)的2次方-9(y-x)的3次方=6(x-y)的3次方+15(x-y)的2次方+9(x-y)的3次方=15(x-y)的3次方+15(x-y)的2次方=15(x-y)的
原式=2X^3+8X^2+8X=2X(X^2+4X+4)=2X(X+2)^2完毕.
原式=X(X^4-2X^3+X^2-2X+1)
1+x的5次方减x的3次方减x的2次方=(x^5-x³)-(x²-1)=x³(x²-1)-(x²-1)=(x³-1)(x²-1)=
x^3-11x^2+6x+144=(x^3+27)-(11x^2-6x-117)=(x+3)(x^2-3x+9)-(11x-39)(x+3)=(x+3)(x^2-3x+9-11x+39)=(x+3)(
x的4次方-16x的2次方=﹙x²﹚²-﹙4x﹚²=﹙ײ+4x﹚﹙x²-4x﹚
4x4-4x3+x2=x2(4x2-4x+1)=x2(2x-1)2
6x的2次方-11x-7=(2x+1)(3x-7)-------------------------------运用十字相乘法:2x1\//\3x-7-------------------------
3x³-2x²-8x=x﹙3x²-2x-8﹚=x﹙3x+4﹚﹙x-2﹚.
X^3-9x=x(x^2-9)=x(x+3)(x-3)