(n+1)! * (n+1-m) + (n+1)! * (m+1) umformen

Question

(n+1)! * (n+1-m) + (n+1)! * (m+1)

= (n+1)! * (n+1-m+m+1)

Wie komme ich darauf?

Answer 1

(n + 1)! * (n + 1 - m) + (n + 1)! * (m + 1)

(n + 1)! ausklammern

= (n + 1)! * ((n + 1 - m) + (m + 1))

= (n + 1)! * (n + 1 - m + m + 1)

= (n + 1)! * (n + 2)

= (n + 2)!