When it comes to factoring a difference of cubes, we're essentially dealing with an equation that fits the model a³-b³. The technique for factoring involves converting this into (a-b)(a²+ab+b²). This practice allows for significant simplification of otherwise complex mathematical computations, thus making them more manageable and straightforward to solve.
| Topic | Problem | Solution |
|---|---|---|
| None | Factor the expression \(64x^{3}-125\) | Step 1: Recognize that this is a difference of cubes and it can be written as \((4x)^{3} - (5)^{3}\) |