MathDB
Simplification of Fraction

Source: AMC 10 2008A Problem 7

February 22, 2008
algebradifference of squaresspecial factorizationsAMC

Problem Statement

The fraction (32008)2−(32006)2(32007)2−(32005)2\frac {(3^{2008})^2 - (3^{2006})^2}{(3^{2007})^2 - (3^{2005})^2} simplifies to which of the following?
<spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 94<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 92<spanclass=′latex−bold′>(E)</span> 9 <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ \frac {9}{4} \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ \frac {9}{2} \qquad <span class='latex-bold'>(E)</span>\ 9
Back to ProblemsView on AoPS