How is n!(n+1)= (n+1)!

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Solution

This is simply the definition of the factorial function.
If it helps, you can write out the values on each side.

(n+1)!=(n+1)(n)(n−1)…(2)(1)

n!=(n)(n−1)…(2)(1)

Notice how n! contains all of the same terms as (n + 1)!, except for the (n + 1)

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