How do you simplify and state the excluded values for (4x-4)/(x-1)?

Dec 24, 2015

$\frac{4 x - 4}{x - 1} = 4 , x \ne 1$

Explanation:

Given $\frac{4 x - 4}{x - 1}$

Step 1: Factor the numerator

$\frac{4 \left(x - 1\right)}{x - 1}$

Step 2: Identify the excluded value by set the denominator to 0

$x - 1 = 0$

$x = 1$

Step 3: Cancel the like term

$\frac{4 \left(\cancel{x - 1}\right)}{\cancel{x - 1}} , x \ne 1$

Answer: $4 , x \ne 1$