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

May 2, 2018

color(blue)(=> (2x - 3) / (x^2 - 3x)

#### Explanation:

$\frac{3}{x - 3} - \left(\frac{1}{x}\right)$

=> (3 * x - (1 * (x - 3)))/ (x * (x - 3)), color(red)("Taking " x*(x-3) " as LCM"

$\implies \frac{3 x - x + 3}{x \cdot \left(x - 3\right)}$

color(blue)(=> (2x - 3) / (x^2 - 3x)