What is the factorized form of 5m + 15?

The factorized form of 5m + 15 is 5(m + 3).

To factorize an expression like 5m + 15, you need to find the greatest common factor (GCF) of the terms involved. In this case, both 5m and 15 have a common factor of 5. This means that 5 is the largest number that can evenly divide both terms.

Start by writing the expression as a product of the GCF and another term. For 5m, you can write it as 5 * m. For 15, you can write it as 5 * 3. So, the expression 5m + 15 can be rewritten as 5 * m + 5 * 3.

Next, you factor out the common factor of 5 from both terms. This means you take 5 out of the expression, leaving you with 5(m + 3). This is the factorized form of the original expression.

Factorizing expressions is a useful skill in algebra because it simplifies equations and can make solving them easier. By recognising common factors, you can break down complex expressions into simpler parts, which can help you to see patterns and relationships more clearly. Remember, practice makes perfect, so keep practising different types of factorization problems to become more confident in your skills!