Exercício sobre binômio de newton

(OSEC) Simplificando-se $\phantom{X} \dfrac{(n!)^2\,+\,(n\,+\,1)!\;n!}{(n\,+\,2)!\;n!}\phantom{X}$ obtém-se:

$\,\frac{n}{n\,+\,2}\,$

$\,\frac{(n!)^2\,+\,(n\,+\,1)!}{(n\,+\,2)!}\,$

$\,\frac{1}{n\,+\,1}\,$

$\,\frac{n!\,+\,1}{n\,+\,2}\,$

$\,\frac{2}{n\,+\,2}\,$

resposta: (C)
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