Question

Simplifique as expressões:
A) (n+2)!/(n-1)!
B) n(n+1)!/(n+2)!

Answer 1

a) 
(n+2).(n+1).n.(n-1)! / (n-1)! = 
(n+2).(n+1).n = 
n.(n²+3n+2) = 
n³+3n²+2n

b)
n(n+1)! / (n+2)! = 
n(n+1)! / (n+2).(n+1)! = 
n / (n+2)