Identity (Equation)/Examples

Examples of Identities in context of Equations

Square of Sum

The result Square of Sum:

$\forall x, y \in \R: \paren {x + y}^2 = x^2 + 2 x y + y^2$

is an example of an identity.

Difference of Two Squares

The result Difference of Two Squares:

$\forall x, y \in \R: x^2 - y^2 \equiv \paren {x + y} \paren {x - y}$

is an example of an identity.