Question

SIMPLIFIQUE (N+2)!/N!

Answer 1

$\dfrac{(n + 2)!}{n!} = \dfrac{(n+2).(n+1).\not n!}{\not n!} \\ \\ = (n+2)(n+1) = n^2 + n + 2n + 2 = \boxed{n^2 + 3n + 2}$