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

Prove by mathematical induction that 10^(2n-1)+1 is divisible by 11

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

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

Show that n^2-1 is divisible by 8, if n is an odd positive integer.

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 .

Using principle of mathematical induction prove that x^(2n)-y^(2n) is divisible by x+y for all n belongs to Ndot

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N

Using principle of mathematical induction , prove that n^(3) - 7n +3 is divisible by 3 , for all n belongs to N .

Using principle of mathematical induction , prove that , (x^(2n)-y^(2n)) is divisible by (x+y) fpr all n in N .