SOLUTION: Prove that if ‘a’ and ’b’ are odd positive integers, then a2+b2 is even but not divisible by 4.

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Question 618977: Prove that if ‘a’ and ’b’ are odd positive integers, then a2+b2 is even but not divisible by 4.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If a is odd, it turns out that . Similarly, , so

, therefore it is even but not a multiple of 4.