Question

(x+3)!/(x-2)! * (x-1)!/(x+2)! simplifique as exprecoes
fatorial

Answer 1

Resposta:

(x+3) · (x-1) ou x²+2x-3

Explicação passo-a-passo:

(x+3)! = (x+3) · (x+2)!

(x-1)! = (x-1) · (x-2)!

$\frac{(x+3)!}{(x-2)!}$ · $\frac{(x-1)!}{(x+2)!}$ = $\frac{(x+3)·(x+2)!}{(x-2)!}$ · $\frac{(x-1)·(x-2)!}{(x+2)!}$ = (x+3) · (x-1) = x²+2x-3