Factorize is a mathematical term that refers to the process of breaking down a complex equation or expression into simpler parts. There are several synonyms for factorize including decompose, resolve, break down, factor, and break apart. These terms are commonly used in algebra and calculus to simplify complex equations and expressions. Factorization is an essential skill required to solve mathematical problems, and it can be achieved through various techniques such as the distributive law, common factorization, and completing the square. Being able to factorize an equation or expression accurately can save time and reduce errors in calculations.