A. \( x^{2}-36 \)

Did you know that the expression \( x^{2}-36 \) is a perfect example of a difference of squares? It can be factored into \( (x - 6)(x + 6) \), illustrating how two squared terms can lead to an elegant factorization. This method not only simplifies solving equations but also appears frequently in algebra, providing a fun way to explore quadratic expressions! In real-world applications, the difference of squares can be seen in physics and engineering, particularly in calculations involving energy or kinematics where one might solve for the distance covered or the potential and kinetic energy of an object. Understanding how to manipulate these expressions can empower students to tackle problems ranging from basic equations to advanced calculus concepts!