book Maths Puzzle Numerical Ability

How do u prove this?...Show that 3 divides n^3-n for all positive integers n. And does 4 divide n^4-n for all positive intgers n? AND i need to use proof by induction i think, i get the first part but then get stuck at the end...please help

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book Other Question

I feel stupid asking this question but, Is there a differnce between a logarithm of a product and the product of a logarithm? If there is a differnce can you explain it to me? Use the ac test to determine if the following trinomial can be factored. Find the values of m and n if the trinomial can be factored.


x^2 - 3x + 7