Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$\frac{3x-6}{x-2}$

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

$\frac{3(x-2)}{x-2}$

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

$\frac{3(x-2)}{x-2}=3$

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 $x=2$.

Answer 2

3; where x does not equal 2