因式分解x的2m 3次方-3x的m 1次方-搜答案-智慧作业帮

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^8+x+1=(x^8-x^2)+(x^2+x+1)=x^2(x^6-1)+(x^2+x+1)=x^2(x^3-1)(x^3+1)+(x^2+x+1)=x^2(x-1)(x^2+x+1)(x^3+1

请问是3x^4-243吗?若是则如下：解原式=3（x^4-81）=3（x^2+9）(x^2-9)=3(x^2+9)(x+3)(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）

x^3-x=x(x^2-1)=x(x+1)(x-1)

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)

解1/4x+x³-x²=x(1/4-x+x²)=x(1/2-x)²

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=﹙×²＋4x﹚﹙x²－4x﹚

4x4-4x3+x2=x2(4x2-4x+1)=x2(2x-1)2

3x³－2x²－8x＝x﹙3x²－2x－8﹚＝x﹙3x＋4﹚﹙x－2﹚.

X^3-9x=x(x^2-9)=x(x+3)(x-3)