Question

What is the quotient of the rational expression shown below? Make sure your answer is in reduced form. Ya

Answer 1

What is the quotient of the rational expression shown below:

`(x^2+5x+6)/(x-6)/(x^2-9)/(2x-12)`
`\begin{gathered} (x^2+5x+6)/(x-6)*(2(x-6))/(x^2-9) \\ (x^2+3x+2x+6)/(x-6)*(2(x-6))/(x^2-3^2) \\ (x(x+3)+2(x+3))/(\cancel(x-6))*(2\cancel(x-6))/((x+3)(x-3)) \\ ((x+3)(x+2))/(1)*(2)/((x+3)(x-3)) \end{gathered}`
`\begin{gathered} (\cancel(x+3)(x+2))/(1)*(2)/((x-3)\cancel(x+3)) \\ (2(x+2))/(x-3) \end{gathered}`
`(2(x+2))/(x-3)`

Final answer = Option A