Simplify the expression of the function [[$ f(x) = (x^2 - 3x + 2)(x - 4) - (x^2 - 5x + 4)(x - 2) $]]. Calculate the value of the function at [[$ 0 $]], [[$ 2 $]] and [[$ 4 $]]. (Source: Finnish matriculation exam, autumn 1996)

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Solution