$$\frac{ { x }^{ 2 } -8x-9 }{ { x }^{ 2 } +9x+8 }$$
$\frac{x-9}{x+8}$
$$\frac{\left(x-9\right)\left(x+1\right)}{\left(x+1\right)\left(x+8\right)}$$
$$\frac{x-9}{x+8}$$
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