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Compress the expression of factorial:

(n+6)!/(n+4)!-n!/(n-2)!

Correct answer:

e = 12n+30

Step-by-step explanation:

e=(n+6)!/(n+4)!−n!/(n−2)! e=(n+6)(n+5)(n+4)!/(n+4)!−n(n−1)(n−2)!/(n−2)! e=(n+6)(n+5)−n(n−1) e = n2 +6n+5n+6⋅ 5 −n2−n e=12n+30

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