Question

answer the question with process.

Answer 1

x + y + z = 0

=> x + y = - z ---------(1)

On cubing both sides, we get

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

=> x^3 + y^3 + 3xy ( - z) = - z^3 [ using equation 1]

=> x^3 + y^3 - 3xyz = - z^3

=> x^3 + y^3 + z^3 = 3xyz


Hence Proved.....