Respuesta :

Answer:

Option C

step explanation:

[tex]\dfrac{x-7}{x^{2}+8}-\dfrac{x^{2}-x +6 }{x^{2}+8} = \dfrac{x-7 - [x^{2}-x+6]}{x^{2}+8}[/tex]

                               [tex]= \dfrac{x - 7 - x^{2}+x - 6}{x^{2}+8}\\\\\\=\dfrac{x +x -7-6 -x^{2}}{x^{2}+8}\\\\\\=\dfrac{2x - 13 - x^{2}}{x^{2}+8}\\\\\\=\dfrac{-x^{2}+2x - 13}{x^{2}+8}[/tex]