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:

`( (x^(2)-x-6)/(4x^(3))) ((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:

`(((x-3)(x+2))/(4x^(3)) ) ((2x(x+1))/((x+3)(x+2)))=((x-3)(x+1))/(2x^(2)(x+3)(x+2))`

The answer is:
`((x-3)(x+1))/(2x^(2)(x+3)(x+2))`