Ferrari's Identity

Author

Eric W. Weisstein
April 13, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Algebra/FerrarisIdentity.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/FerrarisIdentity.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Identity

Expand[Subtract@@{(a^2+2a c-2b c-b^2)^4+(b^2-2a b-2a c-c^2)^4+(c^2+2a b+2b c-a^2)^4,2(a^2+b^2+c^2-a b+a c+b c)^4}]