If `x:y:z=3:3:5 and x^(3)+y^(3)+z^(3)=1728`, then find `(x-y+z)`

Let x,y,z be positive real numbers such that x+y+z=12 and x^(3)y^(4)z^(5)=(0.1)(600)^(3) Then x^(3)+y^(3)+z^(3) is

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

If x+y+z=0, then find (x+y)^(3)+(y+z)^(3)+(z+x)^(3)

If a^(x)a^(y)a^(z)=1 , " then " x^(3)+y^(3)+z^(3)=?

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

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