Question

Prove that( m(n+1)+1)/(m(n+1)-n) is irreducible for every positive integers m & n

Answer 1

m(n+1)+1/m(n+1)-n = mn + m +1 / mn + m -n Now, let m=3 & n = 4 = 12 + 3 +1 / 12 + 3 - 4 = 16 / 11, Which is irreducible.