# Working with Binomials

**Table Of Contents**

## What is a Binomial?

Here are some examples of binomials:

In each example, we **only** have a 1^{st} and 2^{nd} term making them binomials. Now let’s look at different problems we can find binomials in.

## Adding and Subtracting with Binomials

### 1) Adding Binomials

When adding two or more binomials, simply collect **like terms** and then add them together.

Like terms: Terms that have the **same variable** to the **same power. **Let’s try some examples.

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#1

To begin this question, we can first drop the parenthesis since each binomial is not being affected by a factor outside of it. So now we have

Now all we must do is collect **like terms** and simplify

**Done!**

#2

In this example, we will start by once again dropping the parenthesis.

We can see that we only have one set of **like terms**. In this case, they are terms that contain the factor of

**Done!**

#3

Since we are only adding the binomials, we can drop the parentheses

Next, we can combine like terms

**Notice:**

Even though the and are raised to the power of 2, they **cannot** be combined. **Like terms** must have the same variable to the same power to be like terms.

**Done!**

Watch out for the next article about subtracting binomial**.**

Author: Mr. Vernon Sullivan, is a tutor at FPLA Miami, FL HQ premier 1-on-1 tutoring center. He teaches Algebra, Geometry, Pre-Cal, ACT, SAT, SSAT, HSPT, PERT, ASVAB and other test prep programs.

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