How do you simplify and find the excluded values of $(3x-6)/(x-2)$ ?

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Answer 1 · 2017-01-18T15:08:49

See the entire simplification process below:

First, to simplify this expression we can rewrite the numerator as follows:

$(3x - 6)/(x - 2) -> ((3 xx x) - (3 xx 2))/(x - 2) -> (3(x - 2))/(x - 2)$

We can now cancel terms to simplify the expression:

$(3color(red)(cancel(color(black)((x - 2)))))/color(red)(cancel(color(black)((x - 2)))) -> 3$

We need to exclude values where the numerator is $0$ :

$x - 2 = 0$

$x - 2 + color(red)(2) = 0 + color(red)(2)$

$x - 0 = 2$

$x = 2$

This expression simplifies to $3$ except where $x = 2$ .

How do you simplify and find the excluded values of (3x-6)/(x-2)(3x-6)/(x-2)?