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

[tex]\frac{5x+20}{8x^{5} }[/tex]·[tex]\frac{x}{x^{2} -16}[/tex]

Respuesta :

Answer:

First, you have to factorize the expressions :

[tex] \frac{5x + 20}{8 {x}^{5} } \times \frac{x}{ {x}^{2} - 16} [/tex]

[tex] = \frac{5(x + 4)}{8 {x}^{5} } \times \frac{x}{(x + 4)(x - 4)} [/tex]

Second, you have to cross out the similar expressions :

[tex] = \frac{5}{8 {x}^{5} } \times \frac{x}{(x - 4)} [/tex]

Third, you have to multiply both fractions :

[tex] = \frac{5x}{8 {x}^{5}(x - 4) } [/tex]

Lastly, you have to simplify :

[tex] = \frac{5}{8 {x}^{4}(x - 4) } [/tex]