# How can I simplify these expressions

## Simplify term: rule and calculation method

We'll look at how to simplify terms here. Summary of the contents:

- A
**Explanation**how to simplify terms. - Lots
**Examples**to simplify terms. **tasks**/**Exercises**so that you can practice this yourself.**Videos**for dealing with term expressions.- A
**Question and answer area**to this topic.

Let's look at simplifying terms here. It helps a lot to understand it if you already know the basic arithmetic operations, i.e. addition, subtraction, multiplication and division. Also, make sure you understand what a variable is. You already know that? Then go on straight away. Otherwise, please read these two topics briefly first.

**Explanation of simplifying terms**

How can you simplify terms? Let's look at rules and calculation methods.

**Note:**

**Rule No. 1**: If there are the same variables in terms, then these can be grouped together.

The next three lines show how to summarize terms:

This also works if there is more than one variable. The next three lines show this:

The simplification also works if you use the appropriate numbers. We summarize the terms for this **6xy + 2xy** together and then insert x = 2 and y = 3.

**Note:**

**Rule No. 2**: When calculating with terms, the following order must be observed when calculating:

- Brackets
- Potencies
- Point calculation (multiplication and division)
- Line calculation (addition and subtraction)
- Left to right

**Examples simplify term**

Can you also simplify more complex terms? Yes, we will also look at an invoice with detailed calculation steps for this.

**example 1**:

It should be simplified 2x^{2}y^{3} + 4x^{2}y^{3}. Then x = 4 and y = 3 should be used.

Solution:

First the calculation, then the calculation method is explained in detail:

**The calculation method**:

- 1st line: The variables in both terms are the same, so we can simply combine 2 + 4 = 6 in the calculation.
- 2nd line: There are multiplication signs between numbers and variables. So that this becomes clear, I have written this down clearly.
- 3rd line: We insert x = 4 and y = 3.
- 4th line: The potencies are calculated first according to the priority rules. We calculate this:
- 4
^{2}= 4 · 4 = 16 - 3
^{3}= 3 · 3 · 3 = 27

- 4
- 5th line: Next, the rule point before line must be observed. We therefore now multiply from:
- 2 · 16 · 27 = 864
- 4 · 16 · 27 = 1728
- 6 · 16 · 27 = 2592

- 6th line: We see that the summary worked with 2592 = 2592.

### Terms simplify tasks / exercises

Show:### Simplify terms

### Examples of simplifying terms

This video is about reshaping terms:

- I will show you how to summarize variables in terms.
- Tasks are calculated.
- The examples presented are explained step by step.

Next video »

### Simplify questions with answers about terms

In this section we look at questions with answers about simplifying terms.

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