Using binomial theorem, evaluate (99)^5

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

Using binomial theorem ,Prove that 3^(3n)-26n -1 is divisible by 676.

Using binomial theorem , Prove that 2^(3n)-7n-1 is divisible by 49.

Using binomial theorem , Evaluate the following : (98)^(5)

Let a!=0a n dp(x) be a polynomial of degree greater than 2. If p(x) leaves reminders a and -a when divided respectively, by x+a and x-a , the remainder when p(x) is divided by x^2-a^2 is 2x b. -2x c. x d. - x

Using binomial theorem , Evaluate the following : (0.99)^(5)

Using binomial theorem ,Evaluate each of the following (102)^(5)

Find the remainder when x^(3)-ax^(2)+6x-a is divided by x - a

Prove the following by using the principle of mathematical induction for all n in N 3^(2n) when divided by 8, the ramained is always 1.