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23 June, 07:10

Express the following in factors; (n+1) !+n!

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  1. 23 June, 08:27
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    n! (n + 2).

    Step-by-step explanation:

    (n + 1) ! = (n + 1) * n * (n - 1) * (n - 2) ... * 1.

    n! = n * (n - 1) * (n - 2) ... * 1

    - so (n + 1) ! = (n + 1) * n!

    and (n + 1) ! + n!

    = n! (n + 1 + 1)

    = n! (n + 2).
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