Đáp án+Giải thích các bước giải:
`ab(a-b)-bc(b-c)-ca(c-a)`
`=a^2b-ab^2-b^c+bc^2-c^a-ca^2`
`=(a^2b-a^2c)+(b^2c-bc^2)-(ab^2-ac^2)`
`=a^2(b-c)+bc(b-c)-a(b^2-c^2)`
`=a^2(b-c)+bc(b-c)-a(b+c)(b-c)`
`=(b-c)(a^2+bc-ab-ac)`
`=(b-c)(a^2-ac-ab+bc)`
`=(b-c)[a(a-c)-b(a-c)]`
`=(b-c)(a-b)(a-c)`