Question

Simplifique o fatorial : (n+1)!+n!/(n-1)!

Answer 1

(n+1)!+n!/(n-1)!=
(n+1).n.(n-1)!+n.(n-1)!/(n-1)!=
(n-1)![(n+1).n+n]/(n-1)!=
(n+1).n+n=
n²+n+n=
n²+2n