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Choice A

Step-by-step explanation:

f(x) - g(x)

x^3 - 4x + 2 - (x - 2)^2

x^3 - 4x + 2 - (x^2 - 2x - 2x + 4)

x^3 - 4x + 2 - (x^2 - 4x + 4)

x^3 - 4x + 2 - x^2 + 4x - 4

x^3 - x^2 - 2

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