learn how to factor using the difference of two cubes

The video tutorial explains how to factor the expression A^3 - 64B^9 by rewriting it as a difference of cubes. The teacher guides students through identifying the terms, solving for variables A and B, and applying the appropriate formula to achieve the factored form. The lesson concludes with a reminder about a similar homework problem.

What is the significance of using parentheses when squaring terms in the factored form?

Describe how to simplify the expression after factoring a^3 - 64B^9.