Use factor theorem to prove that (x+a) is a factor of `(x^(n)+a^(n))` for any odd positive integer n .

Use factor theorem to verify that x+a is a factor of x^(n)+a^(n) for any odd positive integer.

Use factor theorem to verify that (x+a) is a factor of x^n+a^n for any odd positive integer.

Use factor theorem to verify that y+a is factor of y^(n)+a^(n) for any odd positive integer n .

Use factor theorem to verify that x+a is a factor of x^n+a^n for any odd positive integer.

Use factor theorem to verify that x+a is a factor of x^n+a^n for any odd positive integer.

Which is not the factor of 4^(6n)-6^(4n) for any positive integer n?

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 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, 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]

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