16. \( u v-u-u^{2}+v \)

Did you know that the expression \( uv - u - u^2 + v \) can be simplified? By rearranging the terms, you can combine similar factors to make it easier to analyze! For instance, you can group \( u(v - u - 1) + v \). This highlights how variables can interact and gives more insights into potential values they can take. In practical scenarios, such algebraic expressions appear in various fields like economics when calculating profit functions or in physics for motion equations. Understanding how to manipulate and simplify these expressions allows for clearer analysis and better decision-making. Next time you see a complex expression, remember that there's often a simpler way to view it!