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