Question

1- Simplifique:
(n + 5)!. (n - 2)!/(n-3)!. (n + 7)!
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Answer 1

Resposta:

$\dfrac{n - 2}{(n + 7)(n + 6)}$

Explicação passo-a-passo:

$\dfrac{(n + 5)! (n - 2)!}{(n-3)! (n + 7)!} \\\\\\=\dfrac{(n + 5)! (n - 2)(n - 3)!}{(n-3)! (n + 7)!} \\\\\\=\dfrac{(n + 5)! (n - 2)}{(n + 7)!} \\\\\\=\dfrac{(n + 5)! (n - 2)}{(n + 7)(n + 6)(n + 5)!} \\\\\\=\dfrac{n - 2}{(n + 7)(n + 6)}$

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