Simplify the expression and give your answer in the form of $\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.$ 

$\displaystyle {\frac{{{x}^{{2}}+{5}{x}+{6}}}{{{x}^{{2}}+{7}{x}+{6}}}}\cdot{\frac{{{x}^{{2}}+{4}{x}+{3}}}{{{x}^{{2}}+{8}{x}+{12}}}}$

Your answer for the function $\displaystyle {f{{\left({x}\right)}}}$ is : Preview Question 6 Part 1 of 2  
Your answer for the function $\displaystyle {g{{\left({x}\right)}}}$ is : Preview Question 6 Part 2 of 2