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.

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

Prove by the mathematical induction x^(2n)-y^(2n) is divisible by x+y

Prove by the mathematical induction x^(2n)-y^(2n) is divisible by x+y

By mathematical induction, show that 49^n+16n-1 is divisible by 64 for all positive integer n.

Prove that n + n is divisible by 2 for any positive integer n.

By Mathematical Induction , show that 49^(n)+16n-1 is divisible by 64 for all positive Integer n .

If x and are two real numbers, then prove by mathematical induction that (x^(n)-y^(n)) is divisible by (x-y) for all ninNN .

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