A more thorough explanation:

Term: FACTORIZE
Definition: To factorize means to break down a mathematical expression into smaller parts that can be multiplied together to get the original expression. Example: To factorize the expression x² + 5x + 6, we can break it down into (x + 2)(x + 3). This is because (x + 2) and (x + 3) are the factors that, when multiplied together, give us x² + 5x + 6. Explanation: Factorizing is an important skill in mathematics, especially in algebra. It helps us simplify complex expressions and solve equations. In the example given, we can see how factorizing the expression x² + 5x + 6 makes it easier to work with and understand. By breaking it down into its factors, we can see that the expression can be simplified and solved more easily.