Practice test - simplifying expressions another question I am stuck on in a practice test.
The question is $$\frac{5^{2011} - 5^{2009} +24}{ 5^{2009} +1}$$
Can you cancel out the $5^{2009}$ or not?

Hint:
$$
\begin{align}
\frac{5^{2011} - 5^{2009} +24}{ 5^{2009} +1} & = \frac{5^2(5^{2009}+1) - 5^2 - (5^{2009} + 1) + 1 +24}{ 5^{2009} +1} \\
 & = 25 - 1 + \frac{\;\;\cdots\;\;}{5^{2009} +1}
\end{align}
$$
