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Let a, b, c ∈ R. If f(x) = ax 2 + bx + c is such that a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, ∀ x, y ∈ R, then ∑ = 10 1 n ) n ( f is equal to

1. 165
2. 190
3. 255
4. 330

Correct answer: 330

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