25. \( \frac{3 p-2}{2-3 p} \)

Let's dive into some fun facts about rational expressions! Did you know that fractions like \( \frac{3 p-2}{2-3 p} \) can often be simplified or factored? This can lead to easier calculations or clearer interpretations in algebraic problems. For example, factoring out common terms can sometimes reveal hidden relationships and solutions. When working with rational expressions, remember to always watch out for restrictions on the variable! In this case, since the denominator is \(2 - 3p\), it can't be zero. Thus, you'd set \(2 - 3p = 0\) to find the value of \(p\) that makes it undefined, which is \(p = \frac{2}{3}\). Keep this in mind to avoid any mathematical mishaps!