Combining Like Terms Calculator
2026-02-28 23:17 Diff
https://brightchamps.com/en-us/math/calculators/combining-like-terms-calculator

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Last updated on August 5, 2025

Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about combining like terms calculators.

What is Combining Like Terms Calculator?

How to Use the Combining Like Terms Calculator?

Given below is a step-by-step process on how to use the calculator:

Step 1: Enter the expression: Input the algebraic expression into the given field.

Step 2: Click on simplify: Click on the simplify button to combine like terms and get the result.

Step 3: View the result: The calculator will display the simplified expression instantly.

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How to Combine Like Terms?

To combine like terms, identify terms in the expression that have the same variable and exponent. Add or subtract their coefficients to combine them into a single term.

For example, in the expression (3x + 5x - 2x), the like terms are (3x), (5x), and (-2x).

Combine them by adding their coefficients: (3 + 5 - 2 = 6).

The simplified expression is (6x).

Tips and Tricks for Using the Combining Like Terms Calculator

When using a combining like terms calculator, there are a few tips and tricks to make it a bit easier and avoid mistakes:

  • Carefully check for terms with the same variables and exponents.
  • Remember that constants (numbers without variables) can also be combined.
  • Use parentheses to handle expressions with multiple terms, especially when involving subtraction or negative signs.

Common Mistakes and How to Avoid Them When Using the Combining Like Terms Calculator

We may think that when using a calculator, mistakes will not happen. But it is possible to make mistakes when using a calculator.

Problem 1

Simplify the expression (7a + 3b + 2a - 5b).

Okay, lets begin

Identify like terms:

- (7a) and (2a) are like terms.

- (3b) and (-5b) are like terms.

Combine them:

- (7a + 2a = 9a\) - (3b - 5b = -2b)

The simplified expression is (9a - 2b).

Explanation

By adding (7a) and (2a), we get (9a).

Subtracting (5b) from (3b), we get (-2b).

The final expression is (9a - 2b).

Well explained 👍

Problem 2

Simplify the expression (-4x + 6y - 3x + 2y).

Okay, lets begin

Identify like terms:

- (-4x) and (-3x) are like terms.

- (6y) and (2y) are like terms.

Combine them: - (-4x - 3x = -7x) - (6y + 2y = 8y)

The simplified expression is (-7x + 8y).

Explanation

Adding (-4x) and (-3x) gives (-7x).

Adding (6y) and (2y) gives (8y).

The final expression is (-7x + 8y).

Well explained 👍

Problem 3

Simplify the expression (8m - 4n + 5m + 6n).

Okay, lets begin

Identify like terms:

- (8m) and (5m) are like terms.

- (-4n) and (6n) are like terms.

Combine them: - (8m + 5m = 13m) - (-4n + 6n = 2n)

The simplified expression is (13m + 2n).

Explanation

Adding (8m) and (5m) gives (13m).

Adding (-4n) and (6n) gives (2n).

The final expression is (13m + 2n).

Well explained 👍

Problem 4

Simplify the expression (-2p + 3q - 4p - q).

Okay, lets begin

Identify like terms:

- (-2p) and (-4p) are like terms.

- (3q) and (-q) are like terms.

Combine them: - (-2p - 4p = -6p) - (3q - q = 2q)

The simplified expression is (-6p + 2q).

Explanation

Adding (-2p) and (-4p) gives (-6p).

Subtracting (q) from (3q) gives (2q).

The final expression is (-6p + 2q).

Well explained 👍

Problem 5

Simplify the expression (5x + 7y - 3x + 2y).

Okay, lets begin

Identify like terms:

- (5x) and (-3x) are like terms.

- (7y) and (2y) are like terms.

Combine them: - (5x - 3x = 2x) - (7y + 2y = 9y)

The simplified expression is (2x + 9y).

Explanation

Subtracting (3x) from (5x) gives (2x).

Adding (7y) and (2y) gives (9y).

The final expression is (2x + 9y).

Well explained 👍

FAQs on Using the Combining Like Terms Calculator

1.How do you combine like terms?

Combine like terms by adding or subtracting the coefficients of terms that have the same variables and exponents.

2.Can you combine (2x) and (3y)?

No, (2x) and (3y) are not like terms because they have different variables.

3.Why is it important to combine like terms?

Combining like terms simplifies expressions, making them easier to work with and understand.

4.How do I use a combining like terms calculator?

Simply input the algebraic expression you want to simplify and click on simplify. The calculator will show you the result.

5.Is the combining like terms calculator accurate?

Yes, the calculator will provide you with an accurate simplified expression based on the entered terms.

Glossary of Terms for the Combining Like Terms Calculator

  • Combining Like Terms Calculator: A tool used to simplify algebraic expressions by combining terms with the same variable and exponent.
  • Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x).
  • Variable: A symbol, often a letter, that represents a number in mathematical expressions or equations.
  • Exponent: A number that indicates how many times the base is multiplied by itself (e.g., 2 in (x2)).
  • Expression: A mathematical phrase that can contain numbers, variables, and operators, but does not have an equality sign.

Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

Fun Fact

: She has songs for each table which helps her to remember the tables