SOLUTION: please simplify the the expression completely (n!n^2-n!)/((n-1)(n+1)) I tried to simplify it, and all I could get was n(n-2)!n^2-n(n+2)!

Algebra ->  Permutations -> SOLUTION: please simplify the the expression completely (n!n^2-n!)/((n-1)(n+1)) I tried to simplify it, and all I could get was n(n-2)!n^2-n(n+2)!      Log On


   

Question 610242: please simplify the the expression completely (n!n^2-n!)/((n-1)(n+1))
I tried to simplify it, and all I could get was n(n-2)!n^2-n(n+2)!
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(n!n^2-n!)/((n-1)(n+1))

(n!(n^2-1))/((n-1)(n+1))

(n!(n-1)(n+1))/((n-1)(n+1))

n!

So the expression simplifies to n!
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the the expression completely (n!n^2-n!)/((n-1)(n+1))
I tried to simplify it, and all I could get was n(n-2)!n^2-n(n+2)!
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(n!n^2-n!)/((n-1)(n+1))
= n!*(n^2-1)/(n^2-1)
= n!