# How do you simplify and find the excluded values of (x^2 + 2x)/( 3x - 5)?

Feb 18, 2018

$\frac{x \left(x + 2\right)}{3 x - 5} \to x \ne \frac{5}{3}$

#### Explanation:

$\text{this rational function can only be simplified by factoring}$
$\text{the numerator}$

$\text{take out a "color(blue)"common factor of x}$

$\Rightarrow \frac{x \left(x + 2\right)}{3 x - 5}$

$\text{the denominator cannot equal zero as this would}$
$\text{make the function undefined}$

$3 x - 5 = 0 \Rightarrow x = \frac{5}{3} \leftarrow \textcolor{red}{\text{excluded value}}$