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

The excluded value is x=5.

Explanation:

Given : Expression
`(2x)/(-5x+x^2)`

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

Solution :

First we simplify the expression,

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

Taking x common from the denominator,

`=(2x)/(x(-5+x))`

Cancel the common term from numerator and denominator,

`=(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.