Question

What is the quotient of the rational expressions shown below 5/x-2 / x/x-1

Answer 1

Answer:

$\frac{5 - 5x^{-1} }{x - 2}$

Step-by-step explanation:

$\frac{5}{x - 2}$ ÷ $\frac{x}{x -1}$

This equals;

($\frac{5}{x - 2}$).($\frac{x - 1}{x}$)

(5x -5) ÷ (x² - 2x

Simplifying this gives: $\frac{5 - 5x^{-1} }{x - 2}$