Question

Simplifique a expressão: (n+1)!/(n+2)!x(n+3)!/n(n+1)!

Answer 1

(n+1)!/(n+2)!x(n+3)!/n(n+1)!

( n + 2 )! = ( n + 2)( n - 1) !

( n +3)! = ( n +3)(n +2)(n +1) !

Agora montando 

( n + 1)! / ( n +2)(n +1)   *   ( n +3)(n+2)(n+1)! /  n(n +1)   

Simplificando teremos :

( n +3 ) / n  

A  Bientot