Perform the indicated operation and simplify the result. Leave your answer in factored form. ((5x)/(x^(2) -4) )/((8x)/(x+2) )

Question

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


`((5x)/(x^(2) -4) )/((8x)/(x+2) )`

Answer 1

Explanation:

`\frac{ \frac{5x}{ {x}^(2) - 4 } }{ (8x)/(x + 2) } = \frac{5x}{ {x}^(2) - 4 } * (x + 2)/(8x) = \frac{5x + 10}{ {8x}^(2) - 32} \\`

hope it helps:)

Answer 2

`(x)/(y) (5x)/((x^(2) -4)/((8x)/(x+2) ) )\\\\=(5x(x+2))/(8x(x^(2) -4))\\\\=(5(x+2))/(8(x+2)(x-2))\\\\=(5)/(8(x-2))\\\\=(5)/(8).(1)/(x-2)`

Explanation: