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2008 AMC 10BProblem 5P1-10~1 minPrint
FunctionsAlgebraic ManipulationApply an identity: SFFT, sum of squares, difference of cubes, Vieta

For real numbers aa and bb , define a$ba \$b =(a−b)2=(a-b)^2 . What is (x−y)2$(y−x)2(x-y)^2\$(y-x)^2 ?

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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.