Question

simplifique (n+1)!/(n-1)!​

Answer 1

Explicação passo-a-passo:

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$\sf{ \frac{(n + 1)!}{(n - 1)!} } \\ \\ \sf{ \frac{(n + 1) \times n \times (n - 1)!}{(n - 1)!} } \\ \\ \sf{ \frac{(n + 1) \times n \times \cancel{\blue {(n - 1)!}}}{\cancel{\blue {(n - 1)!}}} } \\ \\ \sf{(n + 1) \times n} \\ \\ \boxed{\red{ \sf{ {n}^{2} + n}}}$

$\mathcal{ATT : ARMANDO}$

$\mathfrak{\small03\diagup01\diagup2021} \\ \mathfrak{\small{12} :{15} \: \: pm}$

Answer 2

Resposta:

n²+n

Explicação passo-a-passo:

(n+1)!/(n-1)!

(n+1)n(n-1)!/(n-1)!

Simplificando (n-1)! cm (n-1)!, Teremos:

(n+1)n

n²+n