Question

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

Answer 1

We know that an odd positive integer n is of the form (4q+ 1) or (4q+3) for some integer g.

Comments

Namasthe,
Y are you taking some odd integers as 4m+1 or 4m+3.
Why no we take 2m+1 or 3m+1. Is there any specific reason for taking as 4m+1 or 4m+3.

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Because every odd integer will cover by 4m+1 or 4m+3.
You may also use 2m+1.