Round #644

Calculate 25 squared minus 24 squared.

To calculate \(25^2 - 24^2\), you can use the difference of squares formula, which states that \(a^2 - b^2 = (a + b)(a - b)\). Here, \(a = 25\) and \(b = 24\). So, \[25^2 - 24^2 = (25 + 24)(25 - 24) = 49 \times 1 = 49.\] Therefore, \(25^2 - 24^2 = 49\).

To calculate \(25^2 - 24^2\), we can use the difference of squares formula, which states that \(a^2 - b^2 = (a + b)(a - b)\). Here, \(a = 25\) and \(b = 24\). Let's implement this in C#: ```csharp using System; class Program { static void Main() { int a = 25; int b = 24; // Using the difference of squares formula int result = (a + b) * (a - b); Console.WriteLine("The result of 25^2 - 24^2 is: " + result); } } ``` ### Explanation: 1. **Difference of Squares Formula**: We use the formula \(a^2 - b^2 = (a + b)(a - b)\) to simplify the calculation. 2. **Variables**: We define `a` and `b` with values 25 and 24, respectively. 3. **Calculation**: We compute the result using the difference of squares formula: \((25 + 24) * (25 - 24)\). 4. **Output**: The result is printed to the console. This approach is efficient and leverages a mathematical property to avoid direct computation of squares, which can be computationally expensive for large numbers.