Question

(N3_ n) is divisible by 3 explain the reason

Answer 1

n³-n=n(n²-1)

=n(n+1)(n-1)

=(n-1)n(n+1)

Since n-1, n, and n+1 are three consecutive numbers, one of them should be a multiple of 3. So the product (n-1)n(n+1) will be a multiple of3

So n³-n is divisible by 3