Question

If n Is An Odd Integer, Then Then Show That n square - 1 Is Divided By 8.​

Answer 1

P = 1 then, 4P² + 4P = 4(1)² + 4(1) = 4 + 4 = 8 , it is divisible by 8.

∴ hence, we conclude that 4P² + 4P is divisible by 8 for all natural number

∴ hence, n² -1 is divisible by 8 for all odd value of n

Answer 2

P =2 then, 4P² + 4P = 4(2)² + 4(2) =16 + 8 = 24, it is also divisible by 8 . hence, we conclude that 4P² + 4P is divisible by 8 for all natural number . hence, n² -1 is divisible by 8 for all odd value of n .