question


Hi.

Say


o=(16-x^2)^(1/2)-(4-x)^(1/2)*(4+x)^(1/2);


Why it is necessary for Maple to use assumptions
in order to simplify o to zero?



o:=sqrt(16-x^2)-sqrt(4-x)*sqrt(4+x);
combine(u) assuming x>-4,x<4 ;
simplify(%);


2 1/2 1/2 1/2
o := (16 - x ) - (4 - x) (4 + x)

2 1/2 1/2
(16 - x ) - ((4 - x) (4 + x))


0


In Mathematica one simply gets


In[10]:=
Simplify[o]


Out[10]=
0


I would like to hear your comments on this issue.


Dimitris


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