Question

Evaluate (n+2)!/(n-1)! leaving your answer in factorized form.

Answer 1

we know n!=n*(n-1)!
(n+2)!=(n+2)(n+1)(n)(n-1)!
now (n+2)!/(n-1)!=(n+2)(n+1)(n)(n-1)!/(n-1)!
we get
(n+2)!/(n-1)!= (n+2)(n+1)(n)

Answer 2

Thank you .