The expression (x-b)^2 represents a mathematical operation known as "squaring." In this case, it means multiplying the quantity (x-b) by itself. This expression is often used in algebra to describe the distance between a variable x and a constant b on a number line, squared. Squaring a number always results in a non-negative value. When expanded, (x-b)^2 becomes x^2 - 2bx + b^2. This expansion illustrates how the expression can be broken down into a polynomial form, which is useful in various mathematical applications, including quadratic equations and graphing. Understanding this concept is fundamental in algebra and calculus.