Answer
$$\text{F}$$
Work Step by Step
Simplify the given expression by factoring the numerator and the denominator, then cancelling the common factors:
\begin{align*}
\require{cancel}
&=\dfrac{2(x-6)}{(x-6)(x+4)}\\\\
&=\dfrac{2\cancel{(x-6)}}{\cancel{(x-6)}(x+4)}\\\\
&=\dfrac{2}{x+4}
\end{align*}
Thus, the answer is Option $\text{F}$.
