SOLUTION: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?

Question 229191: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number?
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No, it's not.
The square of an odd number is an odd number, same for even numbers.
Subtracting and odd number from and even number always gives and odd difference.
--> Always odd.

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