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Coordinate Geometry

Question

If $x to the power of 1 third end exponent plus y to the power of 1 third end exponent plus z to the power of 1 third end exponent equals 0 comma$ then which one of the following expressions is correct?

x³ + y³+ z³ = 0

$straight x plus straight y plus straight z equals 3 space straight x to the power of 1 third end exponent space straight y to the power of 1 third end exponent straight z to the power of 1 third end exponent$

x + y + z = 3xyz

$straight x cubed plus straight y cubed plus straight z cubed equals space 3 xyz$

Solution

straight x plus straight y plus straight z equals 3 space straight x to the power of 1 third end exponent space straight y to the power of 1 third end exponent straight z to the power of 1 third end exponent