Question

PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2

Answer 1

(2x/-5x)+x^2
(x(2)/(x(-5))+x^2

(-2/5)+x^2, the x values cancel in numerator and denominator and simplify to -2/5

Answer 2

Answer:

The excluded value is x=5.

Step-by-step explanation:

Given : Expression  $\frac{2x}{-5x+x^2}$

To find : Simplify the rational expression. State any excluded values.      

Solution :

First we simplify the expression,

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

Taking x common from the denominator,

$=\frac{2x}{x(-5+x)}$

Cancel the common term from numerator and denominator,

$=\frac{2}{-5+x}$

To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.

$-5+x=0$

$x=5$

Therefore, The excluded value is x=5.