1楼：匿名用户
^^^x^3+y^3=(x+y)(x^2-xy+y^2)=(x+y)(x^2-xy+y^2/4+3y^2/4)=(x+y)[(x-y/2)^2-(sqrt(3)yi/2)^2]=(x+y)(x-y/2+sqrt(3)yi/2)(x-y/2-sqrt(3)yi/2)
因式分解(x+y+z)^3-x^3-y^3-z^3
2楼：小贱
^参考下面
(x+y+z)^3-x^3-y^3-z^3=3yx^2+3xy^2+3xz^2+3yz^2+3zx^2+3zy^2+6xyz
=3xy(x+y)+3z^2(x+y)+3z(x^2+y^2+2xy)
=3xy(x+y)+3z^2(x+y)+3z(x+y)^2=3(x+y)[xy+z^2+z(x+y)]=3(x+y)[x(y+z)+z(y+z)]=3(x+y)(x+z)(y+z)、
、好评，，o(∩_∩)o谢谢
x＾3＋y＾3＋z＾3－3xyz因式分解
3楼：匿名用户
x+y+z-3xyz
=（x+y+z）（x+y+z-xy-xz-yz）
(这用到的是公式a+b+c-3abc=(a+b+c-ab-ac-bc)）
4楼：虎慈建萍韵
^^^x^3+y^3+z^3-3xyz
=(x^3+3yx^2+3xy^2+y^3)+z^3-3xyz-3yx^2-3xy^2
=(x+y)^3+z^3-3xy(x+y+z)=(x+y+z)[(x+y)^2-(x+y)z+z^2]-3xy(x+y+z)
=(x+y+z)[(x^2+2xy+y^2-xz-yz+z^2)-2xy]
=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)
x^3+3x^2-x-3怎么因式分解？
5楼：从此再努力
x^3+3x^2-x-3=x^2(x+3)-(x+3)=（x^2-1)(x+3)=(x+1)(x-1)(x+3)
6楼：小茗姐姐
x^3+3x^2-x-3
=x(x-1)+3(x-1)
=x(x+1)(x-1)+3(x-1)
=(x-1)(x+x+3)
7楼：线钊示冠
^^立方和公式:a^3+b^3=(a+b)(a^2-ab+b^2)立方差公式:a^3-b^3=(a-b)(a^2+ab+b^2)3x^3+x^2+x-2
=3x^3+x^2+x-2-1+1
=3x^3+x^2+x-3+1
=(3x^3-3)+(x^2+x+1)
=3(x-1)(x^2+x+1)+(x^2+x+1)=(3x-3+1)(x^2+x+1)
=(3x-2)(x^2+x+1)
希望能帮到你，望采纳!!
因式分解:x^2(y+z)+y^2(z+x)+z^2(x+y)-(x^3+y^3+z^3)-2xyz 10
8楼：一朵不知所云
^^^^x^2(y+z)+y^2(z+x)+z^2(x+y)-(x^3+y^3+z^3)-2xyz
=x^2(y+z)+y^2*z+y^2*x+z^2*x+z^2*y-x^3-y^3-z^3-2xyz
=x^2(y+z-x)+x(y^2+z^2-2yz)+(y^2*z+z^2*y-y^3-z^3)
=x^2(y+z-x)+x(y-z)^2+[y^2(z-y)-z^2(z-y)]
=x^2(y+z-x)+x(y-z)^2+(y+z)(y-z)(z-y)
=x^2(y+z-x)+x(y-z)^2-(y+z)(y-z)^2
=x^2(y+z-x)+(y-z)^2(x-y-z)
=(x-y-z)(z-y-x)(z-y+x)
x-y+(y-3)^3因式分解
9楼：翔丶羽
解：x-y+(y-x)
=-(y-x)+(y-x)(x-y)
=(y-x)[(x-y)-1]
=(y-x)(x-2xy+y-1)
化到这步差不多了.
8x^3+27y^3怎么因式分解啊
10楼：寂寂落定
应用立方和公式：a^3+b^3=(a+b)(a^2-ab+b^2)
8x^3+27y^3=(2x)^3+(3y)^3=(2x+3y)(4x^2-6xy+9y^2)
11楼：匿名用户
8x^3+27y^3
=(2x+3y)(4x^2-6xy+9y^2)
公式：a^3+b^3=(a+b)(a^2-ab+b^2)
12楼：左右鱼耳
8x+27y=(2x+3y)(4x-6xy+9y)
（x^3+y^3+z^3-3xyz）怎么因式分解？
13楼：匿名用户
x+y+z-3xyz
=x+3xy+3xy+y+z-3xy-3xy-3xyz=(x+y)+z-3xy(x+y+z)=(x+y+z)(x+2xy+y-xz-yz-3xy)=(x+y+z)(x+y+z-xy-yz-xz)
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