Originally Posted by
topsquark Unless you want to factor the numerator over the reals, this is as simplified as it's going to get.
$\displaystyle \frac{x^2-2x+26}{(x-1)^2} = \frac{(x - (1 + 5i))(x - (1 - 5i))}{(x - 1)^2}$
I don't see how this helps, so I'd leave it in the form you put it in.
In general you want to simplify the expression as much as you can. This is either for the sake of clarity or perhaps because you are going to use the expression later and you want to make it as "simple" as possible.
-Dan