sqrt(1-x^2)/(2-2*x^2) --/--> 1/(2*sqrt(1-x^2))

• Subject: sqrt(1-x^2)/(2-2*x^2) --/--> 1/(2*sqrt(1-x^2))
• From: Oliver Kullmann
• Date: Sun, 29 Apr 2012 23:16:10 +0100

On Sun, Apr 29, 2012 at 05:19:00PM -0400, Stavros Macrakis wrote:
> Another way to solve the original problem is 1/gfactor(1/S)). But that
> really shouldn't be necessary.  An even simpler case showing this problem
> is sqrt(1-x)/(x-1).
> 
>             -s
>

I was trying to help Maxima by giving it the term -sqrt(1-x)/(x-1) to simplify,
however it doesn't help, and it seems Maxima can't simplify
-1/(x-1) to 1/(1-x), which I think is clearly simpler.

Oliver

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