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2013 AMC 10BProblem 5P1-10~2 minPrint
Algebraic ManipulationAbsolute Value & InequalitiesConsider the largest/smallest element or boundary caseTest small/specific values or special cases to find or verify the answer

Positive integers aa and bb are each less than 66 . What is the smallest possible value for 2⋅a−a⋅b2 \cdot a - a \cdot b ?

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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.