# How do you simplify 2/(x-1)-3/x?

Sep 2, 2016

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

#### Explanation:

Adding algebraic fractions $\rightarrow$ Find the common denominator first.

$\frac{2}{x - 1} - \frac{3}{x}$

= $\frac{2 x - 3 \left(x - 1\right)}{x \left(x - 1\right)} \text{ "larr "multiply out the bracket on top}$

=$\frac{2 x - 3 x + 3}{x \left(x - 1\right)} \text{ "larr" collect like terms}$

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