##### Try this ACT math practice question on dealing with algebraic manipulation of factorial expressions..

Which of the following expressions is equivalent to

$$ \left[1 \quad – \quad\dfrac{(n!)^2}{(n+1)!(n-1)!}\right]$$ where $n>2$ and $n! = n(n-1)(n-2)\cdots 3 \cdot 2 \cdot 1$ ?

- $\quad \dfrac{n-2}{n+1}$
- $\quad \dfrac{1}{n+1}$
- $\quad \dfrac{2}{n^2-1}$
- $\quad \dfrac{1}{n-1}$
- $\quad \dfrac{n}{n+1}$