Question

Simplify the rational expressions. State any excluded values. Show your work.
3x-6/x-2

Answer 1

3x-6=3(x-2)
now you can Simplify this.

Answer 2

factorise the top by taking out a factor of 3x and -6
the largest factor is 3
3(x-2)

now you have
\[\frac{ 3(x-2) }{ (x-2) }\]
the (x-2)/(x-2) become 1
so 3(1)=3

x can not be equal to 2 as this would divide by 0

\[x \neq 2\]