# Simplifying Expressions with Multiplication and Division

When working in mathematics, one of the most important skills is being able to simplify expressions. Expressions can be complicated, but with the right knowledge and practice, anyone can learn to simplify them. This article will discuss how to simplify expressions with multiplication and division, using the expression 3w 10w as an example.

## What is an Expression? An expression is a mathematical phrase that contains numbers and/or variables. They can be used to represent a certain value or quantity. Expressions can be written in multiple ways, depending on the desired outcome.

## How to Simplify Expressions with Multiplication and Division To simplify expressions with multiplication and division, first identify the terms in the expression. In this example, the terms are 3w and 10w. Next, identify any common factors between the terms. In this expression, the common factor is “w”. Finally, divide the terms by the common factor. In this example, both terms can be divided by “w”, resulting in the simplified expression of 3 10.

## Examples of Simplifying Expressions In addition to the example of 3w 10w, here are some other expressions and their simplified versions:

• 4x 20x = 4 20
• 12y 6y = 12 6
• 5a 10a = 5 10
• 9b 18b = 9 18

## Rules for Simplifying Expressions When simplifying expressions, there are some important rules to keep in mind. First, always remember to identify the terms, and look for any common factors. Second, when dividing terms, always divide both terms by the same number. Third, always remember that any terms that are equal can be cancelled out. Finally, always check your work to make sure the expression has been simplified correctly.

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Simplifying expressions with multiplication and division can be a tricky task, but with the right knowledge and practice, it can be done with ease. This article discussed how to simplify expressions with multiplication and division, using the example of 3w 10w. It also provided examples of other expressions and their simplified versions, as well as some useful rules for simplifying expressions. With this information, anyone can simplify expressions with ease.