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

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 {(x+y-z)^3+27 xyz} is equal to

If x + y + z = 0 , then what is (y+z-x)^(3) + (z+x-y)^(3) + (x+y-z)^(3) equal to ?

If x^((1)/(3))+y^((1)/(3))+z^((1)/(3))=0;x+y+z=

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

If 36/11 = 3 + 1/(x + 1/(y + 1/z)) , where x, y and z are natural numbers, then what is (x+y+z) equal to ?