Question

Simplifique: $\frac{(n+2)!+(n+1)!}{(n+3)!}$

Answer 1

Resposta:

1/(n+2)

Explicação passo-a-passo:

$</p><p>\frac{(n+2)!+(n+1)!}{(n+3)!} \\ \\ </p><p></p><p>\frac{(n+2).(n+1)!+(n+1)!}{(n+3)!}</p><p> \\ \\ </p><p>\frac{(n+1).(1+n+2)}{(n+3)!}</p><p> \\ \\ </p><p>\frac{(n+1).(n+3)}{(n+3).(n+2).(n+1)}</p><p> \\ \\ </p><p>\frac{1}{(n+2)}</p><p></p><p></p><p></p><p>$

Answer 2

Resposta:

1/(n+2).

Explicação passo-a-passo:

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

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

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

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

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

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

1/(n+2).