SOLUTION: Simplify: (n+2)!/(n!) I don't really know what to do with this kind of problem. I'm not very skilled in factorial problems and I wouldn't know where to start in simplifying this

Algebra ->  Probability-and-statistics -> SOLUTION: Simplify: (n+2)!/(n!) I don't really know what to do with this kind of problem. I'm not very skilled in factorial problems and I wouldn't know where to start in simplifying this      Log On


   

Question 747954: Simplify: (n+2)!/(n!)
I don't really know what to do with this kind of problem. I'm not very skilled in factorial problems and I wouldn't know where to start in simplifying this expression. Any help would be appreciated. Thank you!
Found 2 solutions by reviewermath, stanbon:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
(n+2)!/(n!) = +%28n+%2B+2%29%28n+%2B+1%29%28n%21%29%2F%28n%21%29
=highlight%28%28n+%2B+2%29%28n+%2B+1%29%29 or highlight%28n%5E2+%2B+3n+%2B+2%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: (n+2)!/(n!)
-----
= [(n+2)(n+1)n!/n!]
-----
= (n+2)(n+1)
---
= n^2 + 3n + 1
===================
Cheers,
Stan H.
===================