For any positive integer n prove that `n^(3)-n` is divisible by 6

For any positive integer n, prove that n^(3)-n divisible by 6.

For any positive integer n , prove that n^3-n divisible by 6.

For every positive integer n, prove that 7^n-3^n is divisible by 4.

For every positive integer n, prove that 7^n-3^n is divisible by 4.

If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 676.

For every positive integer n,prove that 7^n-3^n is divisible by 4 using principle of mathematical induction.

If n be a positive integer, then prove that 6^(2n)-35n-1 is divisible by 1225.

It n is a positive integer,prove that 3^(3n)-26n-1 is divisible by 676

For every positive integer n,prove that 7^(n)-3^(n) is divisible by 4.

For every positive integer n, prove that 7^(n) – 3^(n) is divisible by 4.