Question

Simplificando a expressão (X+3)! / (X+1)! , encontramos

Answer 1

(x+3)! = (x+3)*(x+2)*(x+1)!

Logo,

(x+3)! / (x+1)! = (x+3)*(x+2)*(x+1)! / (x+1)! = (x+3)*(x+2) = x² + 2x + 3x + 6 =

= x² + 5x + 6