A) \( (x-1)^{3} \)

Did you know that the expression \( (x-1)^{3} \) is a perfect example of polynomial expansion? When you expand it using the binomial theorem or simply by multiplying it out, you get \( x^3 - 3x^2 + 3x - 1 \). This polynomial has a significant role in calculus, especially when studying functions and their derivatives! When working with polynomial expressions like this, a common mistake is to ignore the signs while expanding. Be cautious with your algebra! It’s easy to confuse the coefficients, especially with negative signs. When you expand \( (x-1)^{3} \), double-check your calculations to avoid errors that can creep in during multiplication and addition.