Polynomials - Difference of squares

SOURCE:COMPETITION
Number of Problems: 1. : (Book)

 

 

1.
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The fraction frac{left(3^{2008}
ight)^2-left(3^{2006}
ight)^2}{left(3^{2007}
ight)^2-left(3^{2005}
ight)^2} simplifies to which of the following?

mathrm{(A)} 1qquadmathrm{(B)} frac{9}{4}qquadmathrm{(C)} 3qquadmathrm{(D)} frac{9}{2}qquadmathrm{(E)} 9

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