If `a\ a n d\ b` are distinct integers, prove that `a^n-b^n` is divisible by `(a-b)` where `n in NN`.

If a and b are distinct integers,prove that a^(n)-b^(n) is divisible by (a-b) where n in N

Using binomial theorem , Prove that a^(n)-b^(n) is divisible by (a-b)

If aa n db are distinct integers, prove that a-b is a factor of a^n-b^n , wherever n is a positive integer.

If aa n db are distinct integers, prove that a-b is a factor of a^n-b^n , wherever n is a positive integer.

If a and b are distinct integers,prove that a-b is a factor of a^(n)-b^(n), wherever n is a positive integer.

If a and b are distinct integers, prove that a - b is a factor of a^(n) - b^(n) ,whenever n is a positive integer.

If a and b are distinct integers then prove that (a-b) is a factor of (a^(n)-b^(n)) , whenever n is a positive integar.

If n is an even positive integer, then a^(n)+b^(n) is divisible by

If n is an even positive integer, then a^(n)+b^(n) is divisible by

If a and b are distinct integers, prove that a- b is a factor of a^n -b^n , whenever n is a positive integer. [Hint write a^n = (a - b + b)^n and expand]