Question

(n+2)!/n!
How do I simplify this? Please show steps

Answer 1

(n+2)(n+1)

Explanation:

Write out the numerator and cancel common factors:

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

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You might be expected to multiply it out:

= n·n +2·n +n·1 +2·1

= n² +3n +2