What does the difference of squares refer to in algebra?

The difference of squares in algebra refers specifically to a special case of factoring, where an expression takes the form of (a^2 - b^2). This expression can be factored into ((a - b)(a + b)). This factoring technique is foundational in algebra since it simplifies expressions and allows for easier problem-solving, especially when dealing with polynomials.

The concept is rooted in the algebraic identity that states for any real numbers (a) and (b), the result of subtracting the square of (b) from the square of (a) equals the product of the sum and the difference of those two numbers. This understanding is essential not only for simplifying expressions but also for solving equations, which is why it is a significant topic in algebra curriculum.