Given gcd(a,b)=1\text{gcd}(a, b) = 1gcd(a,b)=1, which of the following is true for gcd(a+b,a2−ab+b2)\text{gcd}(a+b, a^2-ab+b^2)gcd(a+b,a2−ab+b2)?
It is always 1
It is either 1 or 3
It is always 3
It depends on the parity of aaa and bbb