Answer to Question #211521 in Algebra for Moe

Question

Which of the following = $(n+1)! / (n-2)!$

1. $n(n-1)(n-2)$
2. $(n+1)n(n-1)!$
3. $n(n-1)(n-2)!$
4. $(n + 1)n(n - 1)$
5. None of the above

Answer 1

$$\dfrac{(n+1)!}{(n-2)!}=\dfrac{(n+1)(n)(n-1)(n-2)!}{(n-2)!}=$$

$$=(n+1)n(n-1)$$

4. $(n+1)n(n-1)$