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2021 AMC 10AProblem 9P1-10~3 minPrint
Algebraic ManipulationAbsolute Value & InequalitiesApply an identity: SFFT, sum of squares, difference of cubes, Vieta

What is the least possible value of (xy−1)2+(x+y)2(xy-1)^2 + (x+y)^2 for real numbers xx and yy ?

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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.