Prove that `x^n-y^n` is divisible by x - y for all positive integers n.

Prove, by mathematical induction, that x^n +y^n is divisible by x +y for any positive odd integer n.

Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 for all positive integers n.

Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 for all positive integers n.

Using binomial theorem, prove that 50^(n)-49n-1 is divisible by 49^(2) for all positive integers n.

Prove,by mathematical induction,that x^(n)+y^(n) is divisible by x+y for any positive odd integer n.

Prove that x^(n)-y^(n) is divisible by (x-y) for all n""inNN

Using the principle of mathematical induction ,prove that x^n-y^n is divisible by (x-y) for all n in N .

Prove that n^(2)-n is divisible by 2 for every positive integer n.

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .