Question

What is 2x+14 over x squared + 5x-14 times x squared -36 over x+6

Answer 1

`\begin{gathered} (2x+14)/(x^2+5x-14).(x^2-36)/(x+6) \\ (2(x+7))/(x^2+7x-2x-14).\text{ }(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} \\ (2)/((x-2)).\text{ }\frac{x^{}-6^{}}{1} \\ (2(x-6))/(x-2) \end{gathered}`

Therefore the simplified answer =

`(2(x-6))/(x-2)`