Let a, b and c be positive real numbers, prove that 2a2b2a5+b5+2b2c2b5+c5+2c2a2c5+a5≤a+b2ab+b+c2bc+c+a2ca
Problem
Source: Mathematics Regional Olympiad of Mexico Center Zone 2020 P2
Tags: algebra, inequalities
Source: Mathematics Regional Olympiad of Mexico Center Zone 2020 P2
Tags: algebra, inequalities
Let a, b and c be positive real numbers, prove that 2a2b2a5+b5+2b2c2b5+c5+2c2a2c5+a5≤a+b2ab+b+c2bc+c+a2ca