x的3次方与y的3次方因式分解-搜答案-搜搜做题作业网

6xy³-9x²y²-y^4=-y²(-6xy+9x²+y²)=-y²[(3x)²+2×3x×(-y)+(-y)&sup

5m(x-y)²+10n(y-x)³=5m(x-y)²-10n(x-y)³=5(x-y)²[m-2n(x-y)]=5(x-y)²(m-2nx

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+

再答：

5m(x-y)^2+10n^2（y-x)^3=5(x-y)^2（m+2n^y-2n^x)那个^2是指……的2次方

(x+y)的3次方-x-y=(x+y)的3次方-(x+y)=(x+y)[(x+y)的平方-1】=(x+y)(x+y+1)(x+y-1)

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

x^3-x=x（x^2-1）=x（x+1）（x-1）

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

X的2次方-Y的2次方-3X+3Y=(x-y)(x+y)-3(x-y)=(x-y)(x+y-3)再问：因式分解　(A+B)的3次方-(A+B)再答：(A+B)的3次方-(A+B)=(A+B)【(A+B

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

因式分解(x-y)的平方-(y-x)的3次方(x-y)的平方-(y-x)的3次方=(x-y)^2+(x-y)^3=(x-y)^2(x-y+1)

-8x^2y^2+2x^3y+8xy^3=2x^3y-8x^2y^2+8xy^3=2xy(x^2-4xy+4y^2)=2xy(x-2y)^2

(3x+y)²-(x-3y)²=[(3x+y)+(x-3y)]·[(3x+y)-(x-3y)]=(4x-2y)(2x+4y)=4(2x-y)(x+2y)

(x+y)²-(9y)²=(x+y+3y)(x+y-3y)=(x=4y)(x-2y)(x+y)²-(9y)³=(x+y)²-(729y³)=

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