
### Instruction: help me answer this question Simplify the expression ((n+1)!) * (n!) / ((n+2)!)., think step by step
### Assistant: The expression can be simplified by using the definition of n!, which is n! = n*(n-1)!. The expression reduces to ((n+1)! * n!) / ((n+2)!) = ((n+1)*n! * n!) / ((n+2)*(n+1)!) = (n+1) because all the other terms cancel out. , The answer is The simplified expression is (n+1).
