Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The given rational expression is

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

Taking out the common factors from numerator.

$\frac{3x-6}{x-2}=\frac{3(x-2)}{x-2}$

Cancel out the common factors.

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

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.

Answer 2

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