simplifcation of (1-x)^a/(x-1)

• Subject: simplifcation of (1-x)^a/(x-1)
• From: Barton Willis
• Date: Thu, 11 Apr 2013 12:22:40 +0000

The general simplifier does (1-x)^a/(1-x) --> (1-x)^(a-1), but it doesn't  convert  (1-x)^a/(x-1) --> -(1-x)^(a-1).
I don't know of any simplification function that does (1-x)^a/(x-1) --> -(1-x)^(a-1):

  (%i5) (1-x)^a/(x-1)$

  (%i6) [radcan(%), ratsimp(%), factor(%), rootscontract(%)];
  (%o6) [(1-x)^a/(x-1),(1-x)^a/(x-1),(1-x)^a/(x-1),(1-x)^a/(x-1)]

I thought maybe the option variable negdistrib might come into play--it didn't seem to matter.

Is there a simply way to do transformations such as (1-x)^a/(x-1) --> -(1-x)^(a-1)?

--Barton

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