Can You Prove that if x2+y2 is even, then x+y is even.

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If x and y are even, then x+y is even. If x and y are even, then x+y is even.
If x is even and y is an integer, then xy is even. If x is even and y is an integer, then xy is even.
Discrete Math - if x,y even, then x+y even.mp4 Discrete Math - if x,y even, then x+y even.mp4
Proof that if X is even, then X² is even #shorts Proof that if X is even, then X² is even #shorts
How to Prove: If n^2 is even, then n is even. How to Prove: If n^2 is even, then n is even.
Prove that x^2 + x is even for every integer x Prove that x^2 + x is even for every integer x
Prove that, if x & y are odd positive integers, then x square + ysquare even but not divisible by 4. Prove that, if x & y are odd positive integers, then x square + ysquare even but not divisible by 4.
Proof by Contrapositive: If n^2 is Even then n is Even Proof by Contrapositive: If n^2 is Even then n is Even