MathDB

A7

Part of JOM 2015 Shortlist

Problems(1)

$\frac{a^3 + bc}{a^2 + bc}$

Source: Junior Olympiad of Malaysia Shortlist 2015 A7

7/17/2015
Given positive reals a,b,c a, b, c that satisfy a+b+c=1 a + b + c = 1 , show that ∑cyca3+bca2+bc≥2 \displaystyle \sum^{}_{cyc}\frac{a^3+bc}{a^2+bc}\ge 2
Inequalityinequalities