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KöMaL 2019 A765

    Find all functions f ⁣:R→Rf\colon \mathbb{R}\to\mathbb{R} which satisfy the following equality for all x,y∈Rx,y\in \mathbb{R}: f(x)f(y)−f(x−1)−f(y+1)=f(xy)+2x−2y−4.f(x)f(y)-f(x-1)-f(y+1)=f(xy)+2x-2y-4.

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