[tatari/nightmare]

39.Let x,y,zbe positive real numbers such that $xyz\geq 1$,Prove that $$\frac{x^5-x^2}{x^5+y^2+z^2}+\frac{y^5-y^2}{y^5+z^2+x^2}+\frac{z^5-z^2}{z^5+x^2+y^2}\geq 0$$