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TH-TMO 2012 Problem 5

    Determine all functions f:R→Rf : R \to R satisfying f(f(x)+xf(y))=3f(x)+4xyf(f(x) + xf(y))= 3f(x) + 4xy for all real numbers x,yx,y .

    Dataset text AI-MO AoPS. Quoted with source.

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