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salantis [7]
3 years ago
9

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

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

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)}

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