Waring Formula

Author

Eric W. Weisstein
January 10, 2009

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

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

©2009 Wolfram Research, Inc. except for portions noted otherwise

Sum

(∑_(j=0)^(Floor[n/2]))(((-1))^j) ((n )/(n-j))(((A B))^j) (Binomial[n-j, j]) (((A+B))^(n-2 j))==(A^n)+(B^n)

Sum[(((-1))^j)(n/(n-j))Binomial[n-j,j](((A B))^j)(((A+B))^(n-2j)),{j,0,Floor[n/2]}]