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

asked by guest
on Mar 15, 2025 at 3:06 pm



You asked:

Simplify the expression: (n+2)!n!(n1)!\frac{\left( n + 2 \right)! \cdot n!}{\left( n - 1 \right)!}

MathBot Answer:

Simplified:

(n+2)!n!(n1)!=nΓ(n+3) \frac{\left( n + 2 \right)! \cdot n!}{\left( n - 1 \right)!} = n \Gamma\left(n + 3\right)