因式分解x(x-y)的3次方 y(y-x)的3次方-搜答案-灵鹊做题网

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

令a=x-y原式=-(a³-1)+3a²-3a=-(a-1)(a²+a+1)+3a(a-1)=-(a-1)(a²+a+1-3a)=-(a-1)(a²-

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+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

利用十字相乘法X的2次方-5（y+1)x+（2y+3)(3y+2)=[x-（2y+3)][x-（3y+2)]=（x-2y-3)(x-3y-3y-2)

X的6次方-Y的6次方=(X的3次方+Y的3次方)(X的3次方-Y的3次方)=(X+Y)(X²-XY+Y²)(X-Y)(X²+XY+Y²)

(x2＋y2)(x+y)(x-y)

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)

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

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

-y平方x-4x平方y+2x的3次方=2x³-4x²y-xy²=x(2x²-4xy-y²)

(x+y)的平方+2*4(x+y)+4的平方(x+y)=(x+y+4)的平方

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

4x(x-y)^2+8(y-x)^3=4x(y-x)^2+8(y-x)^3=4(y-x)^2[x+8(y-x)]=4(y-x)^2(x+8y-8x)=4(y-x)^2(8y-7x)