Show that `9^(n+1)-8n-9` is divisible by 64, where `n` is a positive integer.

Write down the binomial expansion of (1+x)^(n+1), when x=8. deduce that 9^(n+1)-8n-9 is divisible 64 where n is a positive integer.

9^(n)-8^(n)-1 is divisible by 64 is

Using binomial theorem show that 3^(4n+1)+16n-3 is divisible by 256 if n is a positive integer.

The statement x^(n)-y^(n) is divisible by (x-y) where n is a positive integer is

Show that a^(n) - b^(n) is divisible by a – b if n is any positive integer odd or even.