Question

Aratati ca fractia 2n+1 supra 3n+2 este ireductibila oricare ar fi n e N

Answer 1

If p is a prime number and p es a divisor of 2n+1 and 3n+2, so p algo is a divisor of 6n+3 and 6n+4 , so p is a divisor of (6n+4 -(6n+3))=1 ,dont exist a prime that is divisor of 2n+1 ans 3n+2, so the fraction is irreductible