I have trouble with Maple's add-function. It is usually very good at manipulating my sums using Binomial coefficients, but Maple calculates outright wrong in this example, when using the sum-function:
http://dl.dropbox.com/u/22027008/maplePlay.mw
I would like to use Maple's features for reasoning about expressions (solve etc.), so the numerical add is not desirable. What to do?