Answer: C - The difference of squares of any two consecutive odd numbers is divisible by 8. Denote consecutive odd integers with 2n-1 and 2n + 1.(2n + 1)2-(2n-1)2 = 4n2 + 4n + 1-(4n2-4n + 1) = 4n2 + 4n + 1-4n2 + 4n-1 = = 8nSince one of the factors is 8, the whole expression is divisible by 8.

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The difference of squares of any two consecutive odd numbers is divisible by:

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Answer: C - The difference of squares of any two consecutive odd numbers is divisible by 8. Denote consecutive odd integers with 2n-1 and 2n + 1.
(2n + 1)²-(2n-1)² = 4n² + 4n + 1-(4n²-4n + 1) = 4n² + 4n + 1-4n² + 4n-1 =
= 8n
Since one of the factors is 8, the whole expression is divisible by 8.

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