Question

(n+2)!+(n+1)(n-1)!/
(n+1)(n-1)
Fatorial?

Answer 1

                       $\frac{(n+2)!+(n+1)(n-1)!}{(n+1)(n-1)} \\ \\ = \frac{(n+2)(n+1)(n)(n-1)!+(n+1)(n-1)(n)!}{(n+1)(n-1)} \\ \\ = \frac{(n+1)(n-1)[(n+2)(n)-n!]}{(n+1)(n-1)} \\ \\ =(n+2)(n)-n! \\ \\ =n^2+2n-n!$