# INEQUALITY'S BLOG

## November 22, 2010

### Problem 70: van khea

Filed under: the new math — KKKVVV @ 2:40 pm

Prove that for all $a, b, c\geq 0$ we have:
$a^4+b^4+c^4+(a^2+b^2+c^2)^2\geq 4(a^3b+b^3c+c^3a)$