Question

Simplify the rational expression. State any excluded values. 2x/−5x +x^2

Answer 1

The given expression is

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

First we need to factor the denominator. And x is common in the denominator .

So we will get

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

Cancelling the common x of the numerator and denominator

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

And that's the simplified form .

Excluded values

Denominator should not be zero .

`image`

So the excluded values are x=0,5 .