Re: Simplify Binomial
- To: mathgroup at smc.vnet.net
- Subject: [mg127620] Re: Simplify Binomial
- From: "Dr. Wolfgang Hintze" <weh at snafu.de>
- Date: Wed, 8 Aug 2012 21:32:59 -0400 (EDT)
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On 8 Aug., 09:17, Themis Matsoukas <tmatsou... at me.com> wrote: > This works: > > FullSimplify[Binomial[m + 1, n + 1]/Binomial[m, n]] > > (1 + m)/(1 + n) > > but this doesn't: > > FullSimplify[Binomial[m, n + 1]/Binomial[m, n]] > > Binomial[m, 1 + n]/Binomial[m, n] > > How do I get Mathematica to simplify the last result to (m-n)/n? > > Thanks > > You will find nobody who can do this ... because it's false. Use In[44]:= FunctionExpand[Binomial[m, 1 + n]/Binomial[m, n]] Out[44]= (m - n)/(1 + n) Regards, Wolfgang