Answer:
Step-by-step explanation:
perhaps you mean
x^3+y^3+z^3 = 3xyz
because
x+y+z = 0
x^3 + y^3 + z^3 - 3xyz = (x + y + z )(x^2 + y^2 + z^2 -xy - yz - xz)
(this equation is an identity)
x^3 + y^3 + z^3 - 3xyz = (x + y + z )(x^2 + y^2 + z^2 -xy - yz - xz)
x^3 + y^3 + z^3 - 3xyz = (0)(x^2 + y^2 + z^2 -xy - yz - xz)
x^3 + y^3 + z^3 - 3xyz = 0
x^3 + y^3 + z^3 = 3xyz
