[tex]\begin{gathered} \frac{2x+14}{x^2+5x-14}.\frac{x^2-36}{x+6} \\ \frac{2(x+7)}{x^2+7x-2x-14}.\text{ }\frac{x^2-6^2}{x+6} \\ \frac{2(x+7)}{x(x^{}+7)-2(x+7)}.\text{ }\frac{(x^{}-6)^{}(x+6)}{x+6} \\ \frac{2(x+7)}{(x^{}+7)(x-2)}.\text{ }\frac{x^{}-6^{}}{1} \\ \frac{2}{(x-2)}.\text{ }\frac{x^{}-6^{}}{1} \\ \frac{2(x-6)}{x-2} \end{gathered}[/tex]
Therefore the simplified answer =
[tex]\frac{2(x-6)}{x-2}[/tex]
