1樓：匿名使用者
^^^^x^zhi2(y+z)+y^dao2(z+x)+z^回2(x+y)-(x^答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)
2樓：匿名使用者
=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)
因式分解:x^2(y+z)+y^2(z+x)+z^2(x+y)-(x^3+y^3+z^3)-2xyz 10
3樓：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)
因式分解:x2(y-z)+y2(z-x)+z2(x-y)
4樓：匿名使用者
^^x^專2(y-z)+y^屬2(z-x)+z^2(x-y)=x^2y-x^2z+y^2z-xy^2+z^2(x-y)=xy(x-y)-z(x-y)(x+y)+z^2(x-y)=(x-y)(xy-zx+yz+z^2)
x^2（y+z）+y^2(z+x)+z^2(x+y)-(x^3+y^3+z^3)-2xyz
5樓：西域牛仔王
x^2（y+z）+y^2(z+x)+z^2(x+y)-(x^3+y^3+z^3)-2xyz
= -(x-y+z)(x+y-z)(x-y-z)
因式分解(x+y+z)^3-x^3-y^3-z^3
6樓：小賤
^參考下面
(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)、
、好評，，o(∩_∩)o謝謝
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