AoPS Wiki talk:Problem of the Day/July 14, 2011
Revision as of 22:15, 13 July 2011 by Welovemath (talk | contribs)
Problem
AoPSWiki:Problem of the Day/July 14, 2011
Solution
This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.
We begin by factoring the given expression, , to
.
Then, writing this as multiple products and shifting the indices for clarity, we get
.
Clearly, this equals
.
At this point, all that is left is arithmetic.
The expression equals
.
This trivially simplifies to
.