Ononot — A function f: \mathbb{R} \to \mathbb{R} satisfies f(x+y) = f

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A function $f: \mathbb{R} \to \mathbb{R}$ satisfies $f(x+y) = f(x) + f(y) + 2xy$ . If $f(1) = 2$ , find $f(n)$ for any positive integer $n$ .