How do you simplify 3/(x-3) - 1/x?

Sep 11, 2016

(2x+3)/(x(x-3)

Explanation:

Find the common denominator which will be $\left(x \left(x - 3\right)\right)$and make equivalent fractions.
$\left(\frac{3}{\left(x - 3\right)} \times \frac{x}{x}\right) - \left(\frac{1}{x} \times \frac{\left(x - 3\right)}{\left(x - 3\right)}\right)$
=$\frac{3 x - \left(x - 3\right)}{x \left(x - 3\right)}$
=$\frac{3 x - x + 3}{x \left(x - 3\right)}$
=(2x+3)/(x(x-3)