# Tri-Variable Inequality!

Algebra Level 4

Let $$x,y$$ and $$z$$ be positive real numbers such that $$xyz=1$$. What is the minimum value of:

$\frac{x^{3}}{(1+y)(1+z)}+\frac{y^{3}}{(1+z)(1+x)}+\frac{z^{3}}{(1+x)(1+y)}$

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