# INEQUALITY'S BLOG

## May 18, 2012

### Problem 315 vankhea

Filed under: Problem by Van Khea — KKKVVV @ 11:28 am

if $a, b, c$ are positive real numbers satisfying $ab+bc+ca=3$ then prove that
$(2+3a^3)(2+3b^3)(2+3c^3)\geq 125$