\( 2 x ^ { 2 } - 6 + x ^ { 2 } y + 3 y \)

Did you know that the equation you've presented can be simplified? First, combine the like terms involving \(x^2\). You get \(3x^2 + x^2y - 6 + 3y\). This brings everything together nicely, making it easier to analyze or solve for values of \(x\) and \(y\)! In terms of real-world applications, expressions like this often appear in physics and engineering when modeling relationships between variables. For instance, they can represent forces acting on an object or even economic models where multiple factors influence an outcome. Understanding how to manipulate such expressions is crucial for solving real problems!