# Try!

Algebra Level 3

$\large \dfrac{x^5 - x^2}{x^5 +y^2 + z^2} + \dfrac{y^5 - y^2}{y^5 +z^2 + x^2} + \dfrac{z^5 - z^2}{z^5 +y^2 + x^2}$

Let $$x,y$$ and $$z$$ be positive real numbers satisfying $$xyz\geq 1$$, find the minimum value of the expression above.

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