Question

prove that if x and y are both odd integer then X square + Y square is even but not divisible by 4​

Answer 1

if assume X is equals to 3 and Y is equals to 5

then according to question,

$\frac{{x}^{2} + {y}^{2} }{4 } = \frac{ {3}^{2} + {5}^{2} }{4} = \frac{34}{4}$

which is not divisible by 4

prooved

similarly if we take any positive odd integers and their square always not be divisible by 4 .

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Answer 2

HEY MATE SEE THE ATTACHMENT PLEASE