Question

Simplifica x! (x - 2)! / (x - 3)! (x + 1)!

Answer 1

Respuesta:

$=x!\left(x+1\right)!\left(x-2\right)$

Explicación paso a paso:

$x!\frac{\left(x-2\right)!}{\left(x-3\right)!}\left(x+1\right)!\\\\\mathrm{Eliminar\:los\:factoriales}:\quad \frac{n!}{\left(n-m\right)!}=n\cdot \left(n-1\right)\cdots \left(n-m+1\right),\:n>m\\\\=x!\left(x+1\right)!\left(x-2\right)$