If gcd(a,b) =1 then show that gcd(2a+b,a+2b)=1 or 3

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If a and b are co-primes then show that gcd of a-b and a+b equals 1 or 2If a and b are co-primes then show that gcd of a-b and a+b equals 1 or 2
||Lecture#29||If gcd(a,b)=1,then gcd(a+b,a-b)=1 or 2 ||Prof.Latif Sajid||Lecture#29||If gcd(a,b)=1,then gcd(a+b,a-b)=1 or 2 ||Prof.Latif Sajid
||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 ||Prof.Latif Sajid||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 ||Prof.Latif Sajid
If gcd (a,b) = 1 then prove that gcd(a+b , a^2 -ab +b^2) =1 or 3.If gcd (a,b) = 1 then prove that gcd(a+b , a^2 -ab +b^2) =1 or 3.
If gcd(a,b) = 1, then gcd(2a+b, a+2b) = 1 or 3 ,If gcd(a,b) = 1, then gcd(2a+b, a+2b) = 1 or 3 ,
Bewijs: Als ggd(𝑎, 𝑚) = 1 en ggd(𝑏, 𝑚) = 1, dan is ggd(𝑎𝑏, 𝑚) = 1 | Getallentheorie | Abstracte a...Bewijs: Als ggd(𝑎, 𝑚) = 1 en ggd(𝑏, 𝑚) = 1, dan is ggd(𝑎𝑏, 𝑚) = 1 | Getallentheorie | Abstracte a...
If gcd(a,b)=1, then gcd(a^2,b^2)=1.If gcd(a,b)=1, then gcd(a^2,b^2)=1.
If gcd (a , b) = 1 prove that gcd(a^n, b^n) = 1 (ENT-DMB-Prob -2.4-5(a))If gcd (a , b) = 1 prove that gcd(a^n, b^n) = 1 (ENT-DMB-Prob -2.4-5(a))