Chapter A.5, Problem 17AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 17AYU

$\frac{4}{5\left(x-1\right)}$

Explanation of Solution

Given:

$\frac{\frac{8x}{x^2-1 }}{\frac{10x}{x+1}}$

Calculation:

$\frac{\frac{8x}{x^2-1 }}{\frac{10x}{x+1}}=\frac{8x}{x^2-1 }\frac{x+1}{10x }=\frac{8x}{\left( x+1\right)\left(x-1\right)}\frac{x+1}{10x }=\frac{4}{5\left(x-1\right)}$