Difference of Squares

The difference of squares is a fundamental algebraic identity that represents the difference between the squares of two numbers, A and B. It is written as A² - B², which can be factored into (A + B)(A - B). In this formula, A and B are any real numbers, and their squares are subtracted to find the difference.

This identity is useful in various mathematical contexts, such as factorization, simplifying expressions, and solving equations. It has practical applications in fields like engineering, physics, and economics, where quadratic forms often appear. Understanding this formula can also help in graphing parabolas and other conic sections.