Prove that `(x^(201)+1)` is divisible by (x+1).

Prove that x^(2n-1)+y^(2n-1) is divisible by x+y

If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is also divisible by 11.

Prove that x^n - y^n is divisible by x - y.

Using mathematical induction, prove that for x^(2n-1)+y^(2n-1) is divisible by x+y for all n in N

If n is n odd integer that is greater than or equal to 3 but not a multiple of 3, then prove that (x+1)^(n)=x^(n)-1 is divisible by x^(3)+x^(2)+x

Prove that the polynomial (x^(-17)+1) is not divisible by (x - 1), but is divisible by (x + 1).

Using the principle of mathematical induction, prove each of the following for all n in N (x^(2n)-1) is divisible by (x-1) and (x+1) .

Show that the polynomial (x^(71)+1) is not divisible by (x - 1), but is divisible by (x + 1).

Show that the polynomial (x^(70)+1) is not divisible by (x - 1)

If n is n odd integer that is greater than or equal to 3 but not a multiple of 3, then prove that (x+1)^n-x^n-1 is divisible by x^3+x^2+xdot