Question: Exercise 5 (10 points each; total 30 points) Let a and b be two integers. Show that if a2+b2 is even, then a+b is even:

Exercise 5 (10 points each; total 30 points) Let a and

Exercise 5 (10 points each; total 30 points) Let a and b be two integers. Show that if a2+b2 is even, then a+b is even: a) Using an indirect proof (proof by contrapositive) b) Using a proof by contradiction c) Using a direct proof

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