March 30th, 2014, 05:33 AM  #1 
Senior Member Joined: Nov 2013 Posts: 137 Thanks: 1  Binomials
I was verifying that and I realized that can there is a formulation more general like the theorem binomial... my question is: exist a general theorem for sum or difference of terms^n ? 
March 30th, 2014, 06:23 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,747 Thanks: 2133  If n is odd, replace y with y to get the corresponding "sum" formula. 
March 30th, 2014, 07:08 AM  #3 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory 
Yes, of course there is a general form for these. One involves $x^n  y^n$ (the even and odd case) and the other $x^n + y^n$ (only the odd case). The latter is easily derived from a complex bit of trig.


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