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 polynomial \(x^3 - 8\) | Recognize the given expression as a difference of cubes, \(x^3 - 2^3\) |