I have some complex expression like this
F[x] = x*x/(1-x^2)*x/(1-x/(1-x)), I want to represent F[x] in the form of f(x)/g(x) in which both f(x), g(x) are normal polynomial expressions. In the above example we have
F[x] = (x^3-x^4)/((1-2x)*1-x^2)
And, after that I want to do the polynomial division if the degree of f(x) is bigger that g(x). Is mathematica able to do that?