Упростите выражение (n+1)*n*(n-1)! n!/(n-1)+n!/2!(n-2)!
(n-1)*n!+n*(n-1)! ((n-1)!*n*(n+1))/n!+(n+1)!/(n-1)!
1. (n+1)*n*(n-1)! = n!(n+1) = (n+1)!
2.
3. (n-1)n! + n(n-1)! = (n-1)n!+n! = n!(n-1+1) = n!n
4.
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Answers & Comments
1. (n+1)*n*(n-1)! = n!(n+1) = (n+1)!
2.
3. (n-1)n! + n(n-1)! = (n-1)n!+n! = n!(n-1+1) = n!n
4.