If n is an odd integer then show that n^2-1 is divisible by 8

1.	If n is an odd integer then show that n^2-1 is divisible by 8
Answer» Let n = 8q+1,8q+3..... Now n square -1 so, 8q square -1 = 64q square + 16 q +1-1 result is 64 q square +16 q now take 8 comman from it and that comman 8 will be cancelled out by 8 in divide so it is divisible by 8

Discussion