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First, in problems like these where the solution isn’t immediately clear, expand.
When expanded, you get 9n^2 - 6n + 3
You realise that you can factorise the equation by 3. That is how you prove that n is divisible by 3 for all integer values
When expanded, you get 9n^2 - 6n + 3
You realise that you can factorise the equation by 3. That is how you prove that n is divisible by 3 for all integer values