Find out the answer to "How do you simplify (n+2)!n!?"

Painevg

Answered question

2021-12-19

How do you simplify

\frac{(n + 2)!}{n!} ?

Juan Spiller

Beginner2021-12-20Added 38 answers

Explanation:
We can rewrite the numerator as:

\frac{(n + 2) \cdot (n + 2 - 1) \cdot (n + 2 - 2)!}{(n)!}

= \frac{(n + 2) \cdot (n + 1) \cdot (n)!}{(n)!}

We can cancel

(n)!

and

(n)!

out:

= \frac{(n + 2) \cdot (n + 1) \cdot 1}{1}

= (n + 2) \cdot (n + 1)

= n^{2} + 3 n + 2

Thus, solved

esfloravaou

Beginner2021-12-21Added 43 answers

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RizerMix

Expert2021-12-29Added 656 answers

Thanks for the detailed answer.

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