Đáp án:
Giải thích các bước giải:
`x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2)`
`=y^2 x-z^2 x+yz^2-yx^2+z(x-y)(x+y)`
`=(y^2 x-yx^2)+(z^2y-z^2x)+z(x-y)(x+y)`
`=xy(y-x)+z^2(y-x)-z(y-x)(x+y)`
`=xy(y-x)+z^2(y-x)-(y-x)(xz+yz)`
`=(y-x)(xy+z^2-xz-yz)`
`=(y-x)[(xy-xz)+(z^2-yz)]`
`=(y-x)[x(y-z)-z(y-z)]`
`=(y-x)(x-z)(y-z)`