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

For real numbers xx and yy , define x♠y=(x+y)(x−y)x \spadesuit y = (x+y)(x-y) . What is 3♠(4♠5)3 \spadesuit (4 \spadesuit 5) ?

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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.