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

User Hakan Kose
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2 Answers

6 votes

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

User Saket Patel
by
7.7k points
2 votes

Answer:

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.

User Ppetrov
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7.1k points