Question

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

Answer 1

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

as you know (x-2)/(x-2) =1, x-2 cancels out , and you are left with 3
excluding x=2

Answer 2

The simplified value of given express is 3 for values of x excluding 2.

Explanation:

The given rational expression is

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

Taking out the common factors from numerator.

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

Cancel out the common factors.

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

The simplified value of given express is 3 for values of x except those for which the denominator is equal to 0.

Equate denominator equal to 0.

`x-2=0`

`x=2`

It means at x=2, the denominates is equal to 0.

The excluded values is 2.

Therefore the simplified value of given express is 3 for values of x excluding 2.