Greetings, I am working on a very complicated equation that needs to be solved. To simplify the function I use a limit in which x is much less than D or ( x<<D). I cannot find much less/greater condition in Mathematica. I need to solve that equation symbolically and I know that I should get four solutions. By taking a limit manually I got something like Ax^4-Bx^2+C=0. Then using solve I was able to get four solution, but with coefficients that were very long. (In manual calculations, I was able to get shorter coefficients) How do I solve equation with much less condition? Just for the sake of example let say I want to solve
f(x)= sqrt( D^2 - ( x - z )^2 ) + x * cos(a) + x + z
after limit
f(x)= sqrt( D^2 - ( z )^2 ) + x * cos(a) + x + z
Is there a command in Mathematica to selectively simplify/factor/expand some terms instead all terms in equations?
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