How to Simplify a Permutation Expression?

How can I simplify...


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


I don't know what to do. I tried different ways but I can't get anywhere near the answer which is n+1 / n-1

Thanks.

Cosmos said:

How can I simplify...
n! + (n-1)! / n! - (n-1)!
I don't know what to do. I tried different ways but I can't get anywhere near the answer which is n+1 / n-1

Click to expand...

FACTOR, \(\displaystyle n!+(n-1)!=(n-1)![n+1]\) and \(\displaystyle n!-(n-1)!=(n-1)![n-1]\)

Cosmos said:

How can I simplify...


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


I don't know what to do. I tried different ways but I can't get anywhere near
the answer which is n+1 / n-1

Thanks.

Click to expand...

Cosmos,

you didn't type either of those expressions correctly, because you left out
needed grouping symbols.


For example, type "[n! + (n - 1)!]/[n! - (n - 1)!]" and "(n + 1)/(n - 1)."



Typing gaps in front of and after the "/" symbol doesn't help to form the intended
fractions.

Sigh, no wonder i got stuck.