MathDB

2

Part of 1992 Canada National Olympiad

Problems(1)

Inequality

Source: CMO 1992 #2

8/7/2008
For x,y,z≥0, x,y,z \geq 0, 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.
inequalities