5. \( \frac{(x+2)^{3}}{x z^{2}} \)

Did you know that the expression \( \frac{(x+2)^{3}}{x z^{2}} \) can be interpreted in various ways depending on what's asked? For instance, if you were to expand the numerator, you could use the binomial theorem, which expresses \( (a + b)^n \) as a sum of terms involving coefficients from Pascal's triangle. Expanding it results in terms of \( x \) and constants raised to different powers! Additionally, this expression can appear in real-world scenarios such as fluid dynamics, where ratios of variables represent rates of flow or resistances. Understanding how to manipulate such expressions is crucial in fields like engineering when solving for forces or pressures in a system. Keep practicing with such expressions—it's like building a toolbox for mathematical problem-solving!