question on factorization



>>>>> "lo" == lo  <james.smith1 at freenet.de> writes:

    lo> hello Maxima users,
    lo> a question from a newby:
    lo> I define a function and take the derivative of it
    lo> wrt some variables. The result is horribly long
    lo> but it is the sum of many terms. If I examine those terms,
    lo> for each, some factorization could be done, but are not.
    lo> To simplify the problem, consider for instance:
    lo> f: y1*exp(x1)+y1*cos(x1)+(x1-x2)^2;
    lo> How come that Maxima do not put y1 as a common factor for exp(x1) and
    lo> cos(x1) ?

Because sometimes that's not what you want.  Maxima can't read your
mind. :-)

    lo> How to tell Maxima to factorize as much as possible (assuming I do not
    lo> know myself that
    lo> y1 is a common factor for the first two terms)  ?

collectterms(f, y1) will do what you want in this case.

    lo> If I use radcan, I get the result I want, but (x1-x2)^2 gets expanded,
    lo> something I would like to avoid.

Be careful with radcan.  It can change expressions in unexpected ways
that you might not want.  Use ratsimp instead.

Ray