flatten[table[{x,y,x(x^2-1)(y^2+1)(-e^(-x^2-y^2)),(x^2-1)y/e^((x^2+y^2)/2)},{x,{-1,0,1}},{y,{-1,0,1}}],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.