# Like Terms Definition

In Mathematics, **Like Terms** are the terms with the **same base and exponent**. In simple words, all those terms that have the **same variable** and power are called like terms. For example, **2x** and **5x** are like terms because they have the same variable **“x”** and power is **“1”** in both terms.

**Note:**

Read about the Term here in detail.

**Table of Contents**

## Condition to fulfill for being like terms

- Bases must be same.
- Power must be same.

### What is the opposite of like terms?

In Mathematics, there are other terms too that are called, **Unlike Terms**. These terms can either have **different bases or** **different powers**. For example, **3x** and **5y** are **Unlike Terms** because they have different variables or bases.

**Note:**

You can read about **Unlike Terms** here.

### Operations on Like Terms

**Addition:**While adding, the**coefficients**of like terms will be**added**only. For example, if we add**2x**with**5x**, the resultant will be**7x**which comes out by adding coefficients only.**Subtraction:**We can also**subtract**the**smaller**like term from the**bigger**like term. For example, if we subtract**2x**from**5x**, the resultant will be**3x**which comes out by subtracting 2 from 5.**Multiplication:**In multiplication, we have to**multiply**the**coefficients**of like terms and add the power. For example, the multiplication of**2x**by**5x**gives an output of**〖10x〗^2**.

### Fun Facts about Like Terms

- Only the
**coefficient**can**vary**in like terms. - Like terms can never have
**different bases and powers**. - Like terms can be
**added**and**subtracted**easily. - •In Algebra, like terms are used widely for the solution of different problems.

### FAQ's

**What do you mean by like terms?**

All those terms that have the same base and power are called like terms.

**Can like terms have different powers?**

No, like terms can never have different bases or different powers.

**Are 2x and 2y like terms?**

No, 2x and 2y are unlike terms because they have different bases.

**How to identify if terms are like or unlike?**

If the given terms have the same variable or powers, they are called like terms otherwise those terms are called, unlike terms.

**Why these terms are called like terms?**

In English, like means same. As these terms have the same variables and powers, that’s why these are called like terms.