If `x!= y`, then for every natural number n, `x^n - y^n` is divisible by

For every natural number n, 3^(2n+2) - 8n -9 is divisible by

For every natural number n, 3 ^(2n+2)-8n -9 is divisible by 8

Prove the statement by the principle of mathematical induction : For any natural numbers n, x^n - y^n is divisible by x - y , where x and y any integers with x ne y

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8.

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8 for all n ge 1.