a) \( 2 x+2 y \)

Did you know that the expression \(2x + 2y\) can be factored to show its underlying simplicity? By factoring out the common factor of 2, we can rewrite it as \(2(x + y)\). This not only highlights the relationship between \(x\) and \(y\) but also shows how expressions can be manipulated into different forms for easier computation! In real-world applications, \(2x + 2y\) could represent a situation such as calculating the total cost of two items, where \(x\) and \(y\) represent their individual prices. If you wanted to buy two of each item, your total cost would neatly be represented by this expression, making it essential for budgeting and financial planning!