Question

Simplifique a expressão ( n+4)! / [(n+2)!+(n+3)]. ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\dfrac{(n + 4)!}{(n + 2)! + (n + 3)!}}$

$\mathsf{\dfrac{(n + 4).(n + 3).(n + 2)!}{(n + 2)! + (n + 3).(n + 2)!}}$

$\mathsf{\dfrac{(n + 4).(n + 3)}{1 + (n + 3)}}$

$\mathsf{\dfrac{(n + 4).(n + 3)}{(n + 4)}}$

$\boxed{\boxed{\mathsf{n + 3}}}$