Como calcular o valor de (n+3)! (n-1)!______ . _____ (n-2)! (n+2)!.... Pergunta de ideia degysllanyferreira

March 2022 1 12 Report

Como calcular o valor de (n+3)! (n-1)!
______ . _____
(n-2)! (n+2)!

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$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc} \frac{(n+3)!(n-1)!}{(n-2)!(n+2)!} = \frac{(n+3)(n+2)!(n-1)(n-2)!}{(n-2)!(n+2)!} \\\\ \frac{(n+3)(n-1)}{1} = n^2-n+3n-3\\\\ \boxed{(n+3)(n-1)^}\\\\ou\\\\\boxed{n^2+2n-3} \end{array}\right$

Espero ter ajudado. :))

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