minimize x*y^2+y*z^2+z*x^2-3*x*y*z subject to x>=0 and y>=0 and z>=0 and x+y+z=1

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.