x^3(y-z) + y^3(z-x) +z^3(x-y) phân tích đa thức thành nhân tử

`x^3(y-z) + y^3(z-x) + z^3(x-y)`

`= x^3(y-z) + zy^3 - xy^3 + xz^3 - yz^3`

`= x^3(y-z) + (zy^3 - yz^3) + (xz^3 - xy^3)`

`= x^3(y-z) + zy(y^2-z^2)+xy(z^2-y^2)`

`= x^3(y-z) + zy(y-z)(y+z) - xy (y-z)(y+z)`

`= x^3(y-z) + (y-z)(y+z)(zy-xy)`

`= x^3(y-z) + y(y-z)(y+z)(z-x)`

`= (y-z)[x^3 + y(y+z)(z-x)]`

`= (y-z)[x^3+y(yz-xy+z^2-xz)]`

`= (y-z)(x^3+y^2z-xy^2+yz^2-xyz)`