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2008 AMC 10A Question 7

AMC10 · 2008 AMC 10A

Question 7

The fraction

$$
\dfrac{\left(3^{2008}\right)^2 - \left(3^{2006}\right)^2}{\left(3^{2007}\right)^2 - \left(3^{2005}\right)^2}
$$

simplifies to which of the following?
  1. $1$
  2. $\dfrac{9}{4}$
  3. $3$
  4. $\dfrac{9}{2}$
  5. $9$