To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
[tex] ( \frac{x^{2}-x-6}{4x^{3}}) (\frac{x^{2}+2x}{x^{2}+5x+6} ) [/tex]
2. First, you must factor the polynomials in the numerator and in the denominator and then simplify the expression:
[tex] (\frac{(x-3)(x+2)}{4x^{3}} ) (\frac{2x(x+1)}{(x+3)(x+2)})=\frac{(x-3)(x+1)}{2x^{2}(x+3)(x+2)} [/tex]
The answer is: [tex] \frac{(x-3)(x+1)}{2x^{2}(x+3)(x+2)} [/tex]
