Question

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

Answer 1

To simplify the expression ((n + 2)!n!)/((n - 1)!), we can expand the factorials and cancel out common terms to get (n + 2)(n + 1)n!.

Step-by-step explanation:

To simplify the expression ((n + 2)!n!)/((n - 1)!), we can expand the factorials and cancel out common terms. The expression can be written as:

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

= (n + 2)(n + 1)n!

So the simplified form of the expression is (n + 2)(n + 1)n!.