因式分解y的三次方减四y的平方加y-搜答案-智慧作业帮

X³+Y³=(X+Y)(X²-XY+Y²)

(x-y)^2-(x-y)^3=(x-y)^2*[1-(x-y)]=(x-y)^2(1-x+y)

-3x³+6x²y-3xy²=-3x（x²-2xy+y²）=-3x（x-y）²

6x(x-y)²+3(y-x)³=6x(y-x)²+3(y-x)³=3(y-x)²(2x+y-x)=3(y-x)²(x+y)

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

原式=a²(x-y)²+2a(x-y)³+(x-y)^4=(x-y)²[a²+2a(x-y)+(x-y)²]=(x-y)²[a+(

6(x-y)^3-3y(y-x)^2(注：X^3代表X的三次方）=6(x-y)^3-3y(x-y)^2=3(x-y)^2[2（x-y)-y]=3(x-y)^2(2x-3y)

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

(x-2y)³+8x²y-16xy=(x-2y)³+8xy(x-2y)=(x-2y)[(x-2y)²+8xy]=(x-2y)[x²-4xy+4y

6(x+y)的三次-24(x+y)=6(x+y)(x+y+2)(x+y-2)(x的平方+y的平方)的平方-4x的平方y的平方=(x^2+y^y+2xy)(x^2+y^y-2xy)=(x+y)^2(x-

3x的平方y-3y的三次方-6y的平方-3y＝3y｛x^2-(y^2+2y+1)｝=3y{x^2-(y+1)^2}=3y(x+y+1)(x-y-1)

6xy²+9x²y+y³=y(9x²+6xy+y²)=y(3x+y)²

x³y-xy³=xy(x²-y²)=xy(x+y)(x-y)

解原式=x(x^2+3xy+2y^2)=x(x+y)(x+2y)

4m^2（x-y)^3+（y-x)^3（m-n)^2=(x-y)^3{4m^2-(m-n)^2}=(x-y)^3(2m+m-n)(2m-m+n)=(x-y)^3(3m-n)(m+n)

-y³+4y²-4y=-y(y²-4y+4)=-y(y-2)²

添项减项法y³+7y²-8=y³-y²+8y²-8=y²(y-1)+8(y²-1)=y²(y-1)+8(y+1)(y-1

等于﹣2x的平方y（1+y的平方）再问：能不能把过程也写出来！！！再答：x^2y-2x^2y^3-3x^2y=-2x^2y-2x^2y^3=-2x^2y(1+y^2)

x³－3x²y＋3xy²－y³＝﹙x³－y³﹚－3xy﹙x－y﹚＝﹙x－y﹚﹙x²＋xy＋y³﹚－3xy﹙x－y﹚＝﹙x

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