3. \( 2 a^{2}+2 b^{2} \)

Did you know that the expression \( 2a^2 + 2b^2 \) can be factored out? You can simplify it to \( 2(a^2 + b^2) \), which showcases the beauty of factoring in algebra! This can be particularly useful when you're dealing with complex problems where breaking down expressions can make calculations much easier. In real-world applications, expressions like \( 2a^2 + 2b^2 \) often arise in physics, especially in formulas related to kinetic energy or potential energy, where 'a' and 'b' could represent different variables like mass, velocity, or positions. Understanding these expressions helps bridge the gap between math and real-life scenarios!