If gcd(a,b)=d\gcd(a, b) = dgcd(a,b)=d, which statement correctly describes gcd(a+b,a−b)\gcd(a+b, a-b)gcd(a+b,a−b)?
gcd(a+b,a−b)=d\gcd(a+b, a-b) = dgcd(a+b,a−b)=d always
gcd(a+b,a−b)=2d\gcd(a+b, a-b) = 2dgcd(a+b,a−b)=2d always
gcd(a+b,a−b)=d\gcd(a+b, a-b) = dgcd(a+b,a−b)=d or 2d2d2d depending on the parity of aaa and bbb
The value cannot be determined from ddd alone