Question

Perform the indicated operation and simplify the result. Leave your answer in factored form.

Answer 1

Answer:

First, you have to factorize the expressions :

$\frac{5x + 20}{8 {x}^{5} } \times \frac{x}{ {x}^{2} - 16}$

$= \frac{5(x + 4)}{8 {x}^{5} } \times \frac{x}{(x + 4)(x - 4)}$

Second, you have to cross out the similar expressions :

$= \frac{5}{8 {x}^{5} } \times \frac{x}{(x - 4)}$

Third, you have to multiply both fractions :

$= \frac{5x}{8 {x}^{5}(x - 4) }$

Lastly, you have to simplify :

$= \frac{5}{8 {x}^{4}(x - 4) }$