Factorization Formula

Factorization is the process of rewriting an algebraic expression as a product of simpler factors. It is useful for simplifying expressions, solving equations, and identifying common mathematical patterns.

Common Factorization Identities

a² − b² = (a − b)(a + b)

a² + 2ab + b² = (a + b)²

a² − 2ab + b² = (a − b)²

How to Factor

Look first for a common factor. Then check for patterns such as the difference of two squares or a perfect-square trinomial. For quadratic expressions, identify factors whose product and sum match the required coefficients.

Why Factoring Matters

Factoring can turn a complicated expression into smaller parts that are easier to simplify, evaluate, or solve.