f(x)f(y) = f(x + y) + xy, find all f: ℝ → ℝ

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f(x)f(y) = f(x + y) + xy, find all f: ℝ → ℝ

In this video, we solve the functional equation: f(x)f(y) = f(x + y) + xy, f: ℝ → ℝ.

Source: 2010 BMO Second Round

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f(x)f(y) = f(x + y) + xy, find all f: ℝ → ℝ

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