# How do you factor #x^6-27#?

##### 2 Answers

#### Explanation:

The difference of two perfect cubes has a pattern which just has to be applied once you recognise that these terms are both cubes.

First bracket:

Form the second bracket from the first.

#### Explanation:

Temporarily replacing

and using the "difference of cubes"

Note by checking the discriminant we can see that

However since

or