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F(x) = x(x2 − 4) − 3x(x − 2)

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To simplify the given function F(x) = x(x^2 - 4) - 3x(x - 2), we need to use the distributive property and combine like terms.

First, we distribute x in the first term, and we get:

F(x) = x^3 - 4x - 3x^2 + 6x

Next, we can combine like terms:

F(x) = x^3 - 3x^2 + 2x

Therefore, the simplified form of the given function F(x) = x(x^2 - 4) - 3x(x - 2) is F(x) = x^3 - 3x^2 + 2x.

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