Question

Simplifique a expressão (n+3)!/(n+1)!

Answer 1

Olá.

$\cdot \: \frac{(n \: + \: 3)!}{(n \: + \: 1)!} = \\ \\ \frac{(n + 3) \: . \: (n + 2) \: . \: (n + 1)!}{(n + 1)!} = \\ \\ (n + 3) \: . \: (n + 2) = \\ \\ n^{2} + 2n + 3n + 6 = \\ \\ n^{2} + 5n + 6$

Bons estudos.