# How do you simplify and find the excluded values of #(16x^2 - 4x)/(3 - x)#?

##### 2 Answers

Let's try factoring everything

It looks like there are no common factors here, so we can't simplify it

However, there are still excluded values. These are any values of

So let's set

So the excluded value for this expression is

#### Explanation:

#"factorise numerator by taking out a "color(blue)"common factor of 4x"#

#=(4x(4x-1))/(3-x)#

#"the denominator cannot equal zero as this would make"#

#"the rational function undefined. Equating the "#

#"denominator to zero and solving gives the value that x "#

#"cannot be"#

#"solve "3-x=0rArrx=3larrcolor(red)"excluded value"#