Question

9. Prove that if x and y are both odd positive integers then x² + y² is even
but not divisible by 4.​

Answer 1

Answer:

Step-by-step explanation:

let the two numbers be (2a + 1) and (2b + 1)

(2a + 1)² + (2b + 1)²

4a² + 4a + 1 + 4b² + 4b + 1

4 ( a² + b² + a + b ) + 2

since 2 is not divisible by 4

therefore x² + y² is not divisible by 4

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