Question

Simplicar a fraçao
n!
____
(n-2)!

Answer 1

Olá,

$\sf \: \frac{n!}{(n - 2)!} \\ \sf \: = \frac{n(n - 1)(n - 2)!}{(n - 2)!} \\ \sf \: = \frac{n(n - 1) \cancel{(n - 2)!}}{ \cancel{(n - 2)!}} \\ \sf \: = n(n - 1) \\ \sf \: = {n}^{2} - n$

Answer 2

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https://brainly.com.br/tarefa/38793200

$\boxed{\begin{array}{l}\sf\dfrac{n!}{(n-2)!} =\dfrac{n\cdot(n-1)\cdot\diagup\!\!\!\!\!\!(n-\diagup\!\!\!\!\!\!2)!}{\diagup\!\!\!\!\!\!(n-\diagup\!\!\!\!\!\!2)!}\\\sf=n\cdot(n-1)=n^2-n\end{array}}\blue{\checkmark}$