Inequality
Source: CMO 1992 #2
August 7, 2008
inequalities
Problem Statement
For establish the inequality
x(x\minus{}z)^2 \plus{} y(y\minus{}z)^2 \geq (x\minus{}z)(y\minus{}z)(x\plus{}y\minus{}z)
and determine when equality holds.
Source: CMO 1992 #2