Question

Use Euclid’s division lemma to prove that if x and y are both odd positive integers, then x2 + y2 is even
but not divisible by 4.

Answer 1

Answer:

we know that any positive integer is in the form 2q + 1 where q is integer

Explanation:

so letX is equals to 2m + 1 and y is equals to 2 n+ 1 for some integers m and n. we have x 2 + y square X square + y square is equals