Let aaa and bbb be integers such that gcd(a,b)=g\text{gcd}(a, b) = ggcd(a,b)=g. Which of the following is true about gcd(a+b,a−b)\text{gcd}(a+b, a-b)gcd(a+b,a−b)?
It is always ggg
It is ggg or 2g2g2g
It is 2g2g2g
It depends on aaa and bbb