SOLUTION: Prove that when two odd numbers are squared and then added, the answer is always even.

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Question 962579: Prove that when two odd numbers are squared and then added, the answer is always even.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that when two odd numbers are squared and then added, the answer is always even.
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2n + 1 is an odd number.
2m + 1 is another.
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4m%5E2+%2B+4m+%2B+1+%2B+4n%5E2+%2B+4n+%2B+1+=+4%28m%5E2%2Bm+%2B+n%5E2%2Bn%29+%2B+2
QED