Question

Simplify the rational expression. State any excluded values. 3x − 6x − 2

Answer 1

3; where x does not equal 2

Answer 2

3; The excluded value of our given rational expression is
`x=2`.

Explanation:

We have been given a rational expression. We are asked to simplify our given expression.

`(3x-6)/(x-2)`

First of all, we will factor out 3 from denominator.

`(3(x-2))/(x-2)`

Upon canceling out
`x-2`, we will get:

`(3(x-2))/(x-2)=3`

Therefore, the simplified form of our given rational expression is 3.

We know that excluded value of a rational expression are those values, which make denominator zero.

Upon setting our denominator equal to 0, we will get:

`x-2=0`

`x-2+2=0+2`

`x=2`

Therefore, the excluded value of our given rational expression is
`x=2`.