SOLUTION: Write an algebraic expression that proves the difference of the square of any two odd numbers must be divisible by 8.

SOLUTION: Write an algebraic expression that proves the difference of the square of any two odd numbers must be divisible by 8.

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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(69443) (Show Source): You can put this solution on YOUR website!

= 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.
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