# How do you factor: #y= 27x^3 - 1 #?

##### 2 Answers

Jan 18, 2016

#### Explanation:

Cube root of 27 is 3 and the cube root of -1 is also -1.

To factor

remember that

substituting,

Jan 18, 2016

#### Explanation:

Notice that both the terms are cubed terms, i.e.

That means that this is a difference of cubes, which can be factored as follows;

#a^3-b^3=(a-b)(a^2+ab+b^2)#

Thus, we have

#27x^3-1=(3x)^3-1^3#

#=(3x-1)((3x)^2+(3x)(1)+1^2)#

#=(3x-1)(9x^2+3x+1)#