Functions struggling with the modulo

Let \(f\) be a cubic polynomial function with integer coefficients and \(a \equiv b \text{ (mod 9)}\), where \(a\) and \(b\) be natural numbers.

Then, if you divide the expression \(|f(a)-f(b)|\) by 18, what would be the nature of the decimal expansion (after radix point) of the resulting expression?

Explanation: For example, the decimal expansion after the radix point of 299.12123123412345... is 12123123412345....

Bonus: Try to find out the repeating digits in the expansion, if it is non-terminating.

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