I'd like to get the simplest possible expression when using simplify. The problem is that this is all done in a program, without having the benifit of looking at the expression on the screen and trying things. So I need a method that works for large set of input all the time.
I noticed in this example that simplify did not do what I think it should have.
Given the expression -2*(x^3 + 2)/(x*(x + 1)*(sqrt(3)*I + 2*x - 1)*(sqrt(3)*I - 2*x + 1)) it can be simplified to (x^3 + 2)/(2*x^4 + 2*x) but I had to go into many tries in order to get this final result.
Is there a better way to do this? I end up now doing simplify(expand(numer(expr))/expand(denom(expr))) in the hope to get better simplification. Here is an example
It would be nice if Maple simplify would just do it directly as follows in Mathematica. May be there is a an option I am overlooking