Simplify the expression $$\frac{x^2+5 x+6}{x^2+3 x+2}\cdot \frac{x^2+6 x+5}{x^2+8 x+12}$$ and give your answer in the form of $$\frac{f(x)}{g(x)}.$$
Your answer for the function $f(x)$ is :
Your answer for the function $g(x)$ is :