Question

X + Y + Z is equals to zero then x cube + y cube + Z cube

Answer 1

$x + y + z = 0 \\ {x}^{3} + {y}^{3} + {z}^{3} = 3xyz$
On solving the determinant u will get the above relation

Answer 2

x +y +z = 0
Cubing both side,
(x +y +z)3 = 0
x3 + y3 + z3 -3xyz = 0[using formula]
x3 + y3 + z3 = 3xyz.