Question

simplifique: (n+2)! + (n+1) / (n+2)! - (n+1)!

Answer 1

$\frac{(n+2)!+(n+1)!}{(n+2)!-(n+1)!} = \frac{(n+2)(n+1)!+(n+1)!}{(n+2)(n+1)!-(n-1)!} = \frac{(n+1)![(n+2)+1]}{(n+1)![(n+2)-1]} = \frac{n+3}{n+1}$

Answer 2

Olá bom dia ☺

{(n+2)! + ( n+1)!}
---------------------- ===>
{(n+2)! - (n+1)!}

{(n+2)×(n+1)+(n+1)!}
------------------------- ==>
{(n+2)×(n+1)! - (n+1)!}

{(n+1)! ×[(n+2+1)]}
---------------------- ==>
{(n+1)! × [(n+2)-1]}

{n+3}
------
{n+1}

☺espero ter ajudado ☺☺☺☺