Question

Express the following in factors; (n+1)!+n!​

Answer 1

n! (n + 2).

Explanation:

(n + 1)! = (n + 1) * n * (n - 1) * (n - 2) .............. * 1.

n! = n * (n - 1) * (n - 2) .............. * 1

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

and (n + 1)! + n!

= n!( n + 1 + 1)

= n! (n + 2).