A function f(x)f(x)f(x) is defined such that f(x+y)=f(x)+f(y)+xyf(x+y) = f(x) + f(y) + xyf(x+y)=f(x)+f(y)+xy. If f(1)=2f(1) = 2f(1)=2, find f(2)f(2)f(2).
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