Question

1- Simplifique as expressões a seguir:
A) (k-3)! / (k-4)!
B) (p-3)! / (p-1)!
C) n! + (n-2)! / (n-1)!
D) (n+1)! + (n-1)! / (n+1)! - n!

Answer 1

Boa noite

1- Simplifique as expressões a seguir:

A) (k-3)! / (k-4)! = (k - 3)*(k - 4)!/(k - 4)! = k - 3
B) (p-3)! / (p-1)! = 1/((p-1)*(p-2))
C) n! + (n-2)! / (n-1)! = (n^2 - n + 1)/(n - 1)D) ((n+1)! + (n-1)! )/ ((n+1)! - n!) = (n^2 + n + 1)/n^2