Question

prove that if x and y are both odd positive Integers then x^2 + Y^2 even but not divisible by 4
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

As x2+y2 is of the form 2k, this means that it is divisible by 2 and hence it is even. Now, any integer when divided by 4 will be written as 4q+r ( Using Euclid's division lemma). ... Hence, it is proved that if, x and y are odd positive integers, then x2+y2 is even but not divisible by 4.