Maximize[{(x-3)^2+(y-1)^2+(z+1)^2,x^2+y^2 +z^2== 4},{x,y,z}]

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.