If `x+y+z=0` show that `x^3+y^3+z^3=3x y z` .

If x+y+z=0, show that x^3 + y^3+z^3- 3xyz .

If x+y+z=0 show that x^(3)+y^(3)+z^(3)=3xyz .

If x + y + z = 0 , show that x^3 + y^3 + z^3 = 3xyz .

If quad x+y+z=0 show that x^(3)+y^(3)+z^(3)=3xyz

x+y+z=0 Show that x^(3)+y^(2)+z^(3)=3xyz

If x+y+z=8\ \ a n d\ \ \ x y+y z+z x=20 , find the value of x^3+y^3+z^3-3x y z

If x+y+z=xyz , show that : (3x-x^3)/(1-3x^2) + (3y-y^3)/(1-3y^2) + (3z-z^3)/(1-3z^2) = (3x-x^3)/(1-3x^2) . (3y-y^3)/(1-3y^2) . (3z-z^3)/(1-3z^2)