Question

Simplify (n+2)!/n!

Answer 1

WolframAlpha says the answer is (n+1)(n+2). However, I need to show my work.

I'm thinking [(n)(n+1)(n+2)]/n. the n's cancel each other out, leaving just (n+1)(n+2).

Is this correct thinking?

Answer 2

the cancellation if the right idea. you can rewrite the top bit as