SOLUTION: the sum of two squares is an even number

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Question 206269: the sum of two squares is an even number
Answer by Marth(57) About Me  (Show Source):
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a%5E2%2Bb%5E2 is even.
Any even number squared is even, and any odd number squared is odd.
Adding two even numbers or two odd numbers results in an even number.

a%5E2%2Bb%5E2 is even is true for all a and b such that a and b are both even or both odd.