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TH-TMO 2009 Problem 5

    Determine all functions f:R→Rf : R\to R satisfying: f(xy+2x+2y−1)=f(x)f(y)+f(y)+x−2f(xy + 2x + 2y - 1) = f(x)f(y) + f(y) + x -2 for all real numbers x,yx, y .

    Dataset text AI-MO AoPS. Quoted with source.

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