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2008 AMC 10AProblem 7P1-10~2 minPrint
Exponents, Logarithms & RadicalsAlgebraic ManipulationApply an identity: SFFT, sum of squares, difference of cubes, Vieta

The fraction

(32008)2−(32006)2(32007)2−(32005)2\frac{\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?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.