- #1
annoymage
- 362
- 0
Homework Statement
prove that if a and b are both odd integer, then [tex]16|(a^2+b^2-2)[/tex]
Homework Equations
n/a
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