 List of mathematical identities

A list of mathematical identities consists of equations that hold true for all values of the involved variables, assuming the variables are within the defined domain of the identity. Below, I provide a selection of important mathematical identities across different branches of mathematics: ### Algebraic Identities 1. **Difference of Squares**: \[ a^2 - b^2 = (a - b)(a + b) \] 2.