# How do you simplify #(x^2-12x+36)/(4x-24)#?

##### 2 Answers

#### Explanation:

Look for potential of parts of the numerator also occurring in the denominator so that you can cancel out.

Consider the numerator:

To get anything at all that starts to looks like the denominator we have to factorise. Lets try it!

Try:

That does not work. Why is that?

Look at the constants:

Try:

Substitute this into our original equation giving:

We will have found what we want if we factor out 4 from the denominator giving:

Write as:

But:

giving:

The answer is

#### Explanation:

The numerator

Rewrite the numerator.

Apply the square of a difference

Factor

Rewrite the numerator.

Cancel