2013 AMC 12A Problems/Problem 4

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We can factor a 2^2012 out of the numerator and denominator to obtain

((2^2012)((2^2)+1))/((2^2012)((2^2)-1))

Both the (2^2012) terms cancel, so we get

((2^2)+1)/((2^2)-1) = 5/3, which is C