If `x+y+z=0` , then simplify the term `x^3+y^3+z^3`

If x+y+z=0 then find the value of x^(3)+y^(3)+z^(3)

If x + y + z= 0 , then x^3 + y^3 + z^3 is equal to :

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

If x+y+z=0 then what is the value of (x^2)/(3z)+(y^3)/(3xz)+(z^2)/(3x) ?

If x + y + z = 0 , then ( x + y - z)^(3) + ( y + z - x)^(3) + (z + x - y) ^(3) = k (xyz) , where k 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+y+z+w=0 then value of x^(3)+y^(3)+z^(3)+w^(3)+3(y+z)(z+x)(x+y)=

Let A=[(x,y,z),(y,z,x),(z,x,y)] , where x, y and z are real numbers such that x + y + z > 0 and xyz = 2 . If A^(2) = I_(3) , then the value of x^(3)+y^(3)+z^(3) is__________.