I want to set work for my 17 year old calculus students and have access to Mathematica 7. I aim to create a worksheet with rational expressions which they will then decompose into partial fractions. The structure I want to use will rely on some partial fractions appearing on more than one question (i.e. some overlap)
So I want to speed the process of adding rational fractions...
which I was hoping I could resolve in Mathematica into
(-26 - 7 x)/(14 + 11 x + 2 x^2) without brackets in numerator or denominator.
But alas I have work to do in every case, albeit fairly trivial.
Together[ ... ] it yields
(-26 - 7 x)/((2 + x) (7 + 2 x))
ExpandAll[%] just splits it up again, though it (horribly) multiplies the brackets in the denominators into
14 + 11 x + 2 x^2.
Surely I can add two or more rational expressions into a fully expanded rational expression in decreasing powers of