Question

simplifique pn+1-pn sobre n! ​

Answer 1

Resposta:

$\frac{(m+3)!-2(m+3)!}{(m+2)!-m!}=-\frac{(m+3)!}{(m+2)!-m!} =-\frac{(m+3)(m+2)(m+1)m!}{(m+2)(m+1)m!-m!}=-\frac{(m+3)(m+2)(m+1)m!}{m![(m+2)(m+1)-1]} =-\frac{(m+3)(m+2)(m+1)}{(m+2)(m+1)-1}$