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MathGroup Archive 1997

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Re: REQ: (a+b)n

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6372] [mg6372] Re: [mg6358] REQ: (a+b)n
  • From: Robert Pratt <rpratt at math.unc.edu>
  • Date: Fri, 14 Mar 1997 14:54:08 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

The formula for the nth power of the binomial a+b is

(a+b)^n = Sum[Binomial[n,k] a^k b^(n-k), {k,0,n}]

where Binomial[n,k] (built-in Mma function) is the binomial coefficient 
n!/(k!(n-k)!).

Rob Pratt
Department of Mathematics
The University of North Carolina at Chapel Hill
CB# 3250, 331 Phillips Hall
Chapel Hill, NC  27599-3250

rpratt at math.unc.edu

http://www.math.unc.edu/Grads/rpratt/

On Thu, 13 Mar 1997, Gerard Wisse wrote:

> Hi All,
> 
> Who could help me and give the formule of the following:
> 
> (a+b)2 = 1a2 + 2ab + 1b2
> 
> What is the formule of (a+b)n ???
> n is a variable number.
> 
> Thanx!!!
> 
> Yiorgos Wisse
> Gerard.Wisse at nlehvfm1.origin.nl
> 
> 




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