If `(y+z)^(1/3) + (z+x)^(1/3)+(x+y)^(1/3) = 0` then show that `(x+y+z)^3 = 3 (x^3 + y^3 + z^3)`

If x^(1//3) + y^(1//3) + z^(1//3) = 0 , then the value of (x + y + z)^3 is :

If x^(1//3)+ y ^(1//3)+z^(1//3)= 0 " then what is "(x+y+ z)^(3) equal to ?

Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

If (x + y) ^((1)/(3)) + (y + x) ^((1)/(3)) =- ( z + x ) ^((1)/(3)) , then (x ^(3) + y ^(3) + z ^(3)) can be expressed as :

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