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

• BabyBeel: 3; where x does not equal 2
• ApusApus:

  Answer:

  3; The excluded value of our given rational expression is [tex]x=2[/tex].

  Step-by-step explanation:

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

  [tex]\frac{3x-6}{x-2}[/tex]

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

  [tex]\frac{3(x-2)}{x-2}[/tex]

  Upon canceling out [tex]x-2[/tex], we will get:

  [tex]\frac{3(x-2)}{x-2}=3[/tex]

  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:

  [tex]x-2=0[/tex]

  [tex]x-2+2=0+2[/tex]

  [tex]x=2[/tex]

  Therefore, the excluded value of our given rational expression is [tex]x=2[/tex].