Question

Prove that if x and y are odd positive integer, x^2+y^2 is even but not divisible by 4​

Answer 1

Answer:    We know that any odd positive integer is of the form 2q+1, where q is an integer. So, let x=2m+1 and y=2n+1, for some integers m and n. x2+y2 is even and leaves remainder 2 when divided by 4. x2+y2 is even but not divisible by 4.

Step-by-step explanation: