F) \( \left(\frac{x}{3}-2\right)^{3} \)

Historically, the cubic expression has been explored since ancient civilizations, with notable advancements made by mathematicians in the Renaissance. It laid the foundation for modern algebra, influencing how we understand polynomial functions and their behavior. For instance, the idea of manipulating and expanding cubics has led to various applications in geometry and even engineering! When working with cubic functions like \( \left(\frac{x}{3}-2\right)^{3} \), a common hiccup is misapplying the distributive property. Remember, it's important to use the binomial expansion correctly when expanding cubics. A common mistake is forgetting to cube each term properly or mistakenly applying the formula to just the first term. Keeping track of your terms ensures you avoid errors and achieve a clean expansion!