To factor the expression , we can also use the difference of cubes method, as this expression can be rewritten in the form of a difference of cubes.
Step 1: Rewrite the Expression
First, we can rewrite as since .
Thus, the expression becomes:
Step 2: Apply the Difference of Cubes Formula
Using the difference of cubes formula:
we set and ( B = 2a ). Substituting these values into the formula gives: