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: Stavros Macrakis
• Date: Tue, 31 Jan 2012 22:09:52 -0500

An even simpler related problem:

How do I get sqrt(1-x^2) to be expressed as sqrt(1-x)*sqrt(x+1) or even
%i*sqrt(x-1)*sqrt(x+1)?

All three are simplified according to the general simplifier, but I can't
seem to find some combination of factor, gfactor, scanmap, etc. that will
get me from the first version to the others....

                  -s

On Tue, Jan 31, 2012 at 20:37, Stavros Macrakis <macrakis at alum.mit.edu>wrote:

> That's annoying.  A workaround (not a solution) is 1/gfactor(1/expr).
>
> On Tue, Jan 31, 2012 at 20:12, Barton Willis <willisb at unk.edu> wrote:
>
>> sqrt(1-x^2)/(2-2*x^2)
>
>
>

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