X + Y + Z is equals to zero then x cube + y cube + Z cube
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On solving the determinant u will get the above relation
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x +y +z = 0
Cubing both side,
(x +y +z)3 = 0
x3 + y3 + z3 -3xyz = 0[using formula]
x3 + y3 + z3 = 3xyz.
Cubing both side,
(x +y +z)3 = 0
x3 + y3 + z3 -3xyz = 0[using formula]
x3 + y3 + z3 = 3xyz.
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