Question

Simplifique as expressões (n+2)!/(n-3)!×(n-2)!/(n+1)!

Answer 1

(n+2)!/(n-3)! × (n-2)!/(n+1)! =

(n+2)!/(n+1)! × (n-2)!/(n-3)!

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

(n+2) × (n-2)

n² - 4 ✓

Answer 2

Resposta:

Explicação passo-a-passo:

Temos que

$\frac{(n+2)!}{(n-3)!}.\frac{(n-2)!}{(n+1)!}=\frac{(n+2)(n+1)!}{(n-3)!}.\frac{(n-2)(n-3)!}{(n+1)!}=(n+2).(n-2)=n^{2}-2^{2}=n^{2}-4$