Question

Simplify x^2 -x-6/4x^3 * 2x^2 +2x/x^2+5x+6 And PLS show work.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

$( \frac{x^{2}-x-6}{4x^{3}}) (\frac{x^{2}+2x}{x^{2}+5x+6} )$

2. First, you must factor the polynomials in the numerator and in the denominator and then simplify the expression:

$(\frac{(x-3)(x+2)}{4x^{3}} ) (\frac{2x(x+1)}{(x+3)(x+2)})=\frac{(x-3)(x+1)}{2x^{2}(x+3)(x+2)}$

The answer is: $\frac{(x-3)(x+1)}{2x^{2}(x+3)(x+2)}$