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2006 AMC 10AProblem 2P1-10~1 minPrint
FunctionsSet up the equation/formula and compute; no special trick needed

Define x⊗y=x3−yx\otimes y=x^3-y . What is h⊗(h⊗h)h\otimes (h\otimes h) ?

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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. Also appeared as 2006 12A #2.