# INEQUALITY'S BLOG

## August 7, 2011

### Problem 246 van khea

Filed under: Problem by Van Khea — KKKVVV @ 1:31 am

Let $a, b, c$ be positive real numbers. Prove that:

$\displaystyle \sum_{cyc}\frac{(a-b)^2}{a\sqrt{bc}}\geq 2\sum_{cyc}\frac{a-b}{a+b}\frac{a-c}{b}+2\sum_{cyc}\frac{a-c}{a+c}\frac{a-b}{c}$