Topic: Value, Order, and Factors | Factors Concepts Tested: Factorials, Factoring Algebraic Expressions Question: If n is a positive integer, which of the following is equivalent to: n! + (n + 1)! + (n + 2)! ? Options: A. (n!)3 B. 3(n + 1)! C. n!(n + 1)3 D. n!(n + 2)2 E. n!(n + 3) Correct Answer D Solution: Simplifying the Given Expression We are given the expression: n! + (n + 1)! + (n + 2)! Our task is to simplify it. Step 1: Expand the Factorials Recall the definition of factorial: x! = x⋅(x − 1)⋅(x − …