(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove that if a and b are both odd integer, then [tex]16|(a^2+b^2-2)[/tex]

2. Relevant equations

n/a

3. The attempt at a solution

let [tex]a=2m+1 \ and \ b=2n+1[/tex], then [tex]a^2+b^2-2=4(m(m+1)+n(n+1))[/tex] so its divisible by 4, and also divisible 8 since [tex]m(m+1) \ and \ n(n+1)[/tex] are even.

so i only prove [tex]8|(a^2+b^2-2)[/tex], then how to continue? clue please T_T

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# Homework Help: Prove that if a and b are both odd integer

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