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Re: Simplify Binomial

• To: mathgroup at smc.vnet.net
• Subject: [mg127642] Re: Simplify Binomial
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Fri, 10 Aug 2012 02:42:41 -0400 (EDT)
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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


Hi, Themis,

Try FunctionExpand:

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

(m - n)/(1 + n)

Have fun, Alexei

Alexei BOULBITCH, Dr., habil.
IEE S.A.
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