Hmm.

Maxima 5.22.1 http://maxima.sourceforge.net
using Lisp ECL 10.4.1
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) radcan((2*x^2/(x^2+1)-1)/sqrt(-4*x^2/(x^2+1)^2+1) );
(%o1)                                  1
(%i2) radcan(((2*x^2-x^2-1)/(x^2+1))/sqrt((x^2-1)^2/(x^2+1)^2));
                                     2
                                    x  - 1
(%o2)                              --------
                                   ! 2    !
                                   !x  - 1!
(%i3) radcan(((x^2-1)*x/(x^2+1)^2-x/(x^2+1))/sqrt(-(x^2-1)^2/(x^2 +
1)^2 + 1) );
                                        x
(%o3)                          - ---------------
                                   2
                                 (x  + 1) abs(x)


I don't have access to a current Maxima, but if someone could check
this out in 5.23.2 or whatever the latest is, that would be really
great.  Then we'd have to file a bug report there.  Certainly the
behavior should be similar for these.

- kcrisman

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