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melomori [17]
2 years ago
10

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

Mathematics
1 answer:
torisob [31]2 years ago
8 0

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) }

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