If n is an odd integer, then show that n²-1 is divisible by 8.
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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 .
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