`(x+y+z)^3 = x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)`
`(x+y+z)^3 = x^3 + y^3 +z^3 +3xyz +3xz^2 +3yx^2 +3zx^2 +3xy^2 +3xyz+3zy^2+3yz^2`
`(x+y+z)^3 = x^3 + 3x^2 y+3y^2 x+y^3 +3x^2 z+6xyz+3y^2 z+3xz^2 +z^3`
`(x+y+z)^3 = (x+y)^3 +3z(x+y)^2 +3z^2 (x+y) +z^3`
`(x+y+z)^3 = (x+y+z)^3`
`=>` `(x+y+z)^3 = x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)`