Question

Simplifique a expressão $\frac{(n+1)!}{(n-2)!}$:

Answer 1

Oih Elliza, (★≛☆⋆•✪ ύ ✪•⋆☆≛★)

⇨Resolução:

$\frac{(n+1)!}{(n-2)!}$= $\frac{(n+2).n.(n-1).(n-2)!}{(n-2)!}$= $(n^{2}+n).(n-1)$= $n^{3}-n^{2}+n^{2}-n$= $n^{3}-n.$

 Espero ter lhe ajudado,

     Bons Estudos!!! ✨❤✨

Att.: MarcelleMageski

Answer 2

Resposta:

n+1)!

= \frac{(n+2).n.(n-1).(n-2)!}{(n-2)!}

(n−2)!

(n+2).n.(n−1).(n−2)!

= (n^{2}+n).(n-1)(n

2

+n).(n−1) = n^{3}-n^{2}+n^{2}-nn

3

−n

2

+n

2

−n = n^{3}-n.n

3

−n.