Given that \(x,y,z>0\) and \(xyz=1\) find the range of all possible values of
\(\frac{x^3 + y^3 + z^3 - x^{-3} - y^{-3} - z^{-3}}{x + y + z - x^{-1} - y^{-1} - z^{-1}}\)