(b) \( x^{3} y^{3}-3 x^{2} y^{2}+3 x y-1= \)

This expression can be factored using the identity for cubes. It may resemble the expansion of a binomial cubed, specifically \( (x y - 1)^3 \). Just like how sugar makes everything sweet, recognizing patterns in algebra can help simplify complex expressions and solve problems faster! In real-world applications, polynomial equations like this can model various phenomena, from physics to economics. For instance, in optimization problems, you may encounter cubic expressions when trying to maximize profit or minimize cost. The more familiar you become with these equations, the more efficient you'll be in tackling real-world scenarios!