# How do you factor #8k^3 + 1#?

##### 1 Answer

Feb 11, 2016

#### Explanation:

This is the factorization of perfect cubes.

The pattern for factoring perfect cubes is

or

The pattern is dependent upon the sign between the cubes.

a = the cubic factor of the first term

b = the cubic root of the second term

(first term, second term) (first term squared, first term x second term, second term squared.

The pattern of the pattern of the signs follows the SOAP rule

S - Same Sign

O - Opposite Sign

AP - Always Positive

(Same Sign) (Opposite Sign, Always Positive)

The cubic factor of

The cubic factor of 1 is 1