Question

Simplifique a expressão (n+5)!/(n+3)!

Answer 1

(n + 5)! : (n + 3)! =
= [(n + 5) . (n + 4) . (n + 3)!] : (n + 3)! =
= (n + 5) . (n + 4) =
= n² + 4n + 5n + 20 =
= n² + 9n + 20