Question 146745: Write an algebraic expression that proves the difference of the square of any two odd numbers must be divisible by 8. Answer by Alan3354(21608) (Show Source):
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= 4n + 4
=4(n + 1)
Since n is odd, n+1 is even, meaning it has at least one factor of 2.
4 times that has to be divisible by 8, as it adds 2 more factors of 2.
