Question

Simplifique a expressão ( m + 3 ) !
m + 2 !

Answer 1

$\dfrac{(m + 3)!}{(m + 2)!} \\ \\ \\ \dfrac{m!.(m + 1).(m + 2).(m + 3)}{m!.(m + 1).(m + 2)} \\ \\ \\ Corta ~ os~termos~semelhantes \\ \\ \\ \dfrac{\not m!. (\not m + \not 1).(\not m + \not 2).(m + 3)}{\not m!.(\not m + \not 1).(\not m + \not2)} \\ \\ \\=\ \textgreater \ (m + 3)$