Đáp án:
`(x-y)(y-z)(x-z)`
Giải thích các bước giải:
`x²(y-z)+y²(z-x)+z²(x-y)`
`=x²y-x²z+y²z-xy²+xz²-yz²`
`=x²y-x²z+y²z-xy²+xz²-yz²+xyz-xyz`
`=(x²y-x²z)-(xyz-xz²)-(xy²-xyz)+(y²z-yz²)`
`=x²(y-z)-xz(y-z)-xy(y-z)+yz(y-z)`
`=(y-z)(x²-xz-xy+yz)`
`=(y-z)[x(x-z)-y(x-z)]`
`=(x-y)(y-z)(x-z)`