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Re: Simplify Binomial


Binomial[m + 1, n + 1]/Binomial[m, n] //
 FunctionExpand

(1 + m)/(1 + n)

Binomial[m, n + 1]/Binomial[m, n] //
 FunctionExpand

(m - n)/(1 + n)


Bob Hanlon


On Wed, Aug 8, 2012 at 9:36 PM, Themis Matsoukas <tmatsoukas 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
>



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