**xy**from

**3xy**.

## How to Add Like Terms in Algebra

Subtracting like terms is easy. Subtract the coefficients of the like terms from each other.## Question

Subtract the like terms below from each other.## Step-by-Step:

## 1

Check that the terms are like terms.

**3xy**and**xy**are like terms.- They have the same variables:
**x**and**y**. - Each variable has the same exponent:
**x**and**y**both have no exponents (actually an explicit exponent of 1). - The only difference is the coefficient:
**3xy**has a coefficient of**3**,**xy**has no coefficient (actually an explicit coefficient of 1).

## 2

Identify the coefficients of the like terms.

**Don't forget:**A coefficient is the constant (usually a number) in front of a term. If a letter does not have a number in front of it, its coefficient is**1**.## 3

Subtract the coefficients from each other.

## 4

Make the number found in

**Step 3**(2) the coefficient of the term (xy).## Answer:

We have subtracted the like terms from each other:**3xy**−

**xy**=

**2xy**

## How to Subtract Like Terms in Algebra When the Coefficients Are Letters

Coefficients can be letters as well as numbers. By convention, the letters**a**,

**b**,

**c**are used to represent constants (such as coefficients) whereas

**x**,

**y**,

**z**are used for variables.

## Question

Subtract the like terms below from each other.## Step-by-Step:

## 1

Check that the terms are like terms.

- They have the same variables:
**x**and**y**. - Each variable has the same exponent:
**x**and**y**both have no exponents (actually an explicit exponent of 1). - The only difference is the coefficient:
**axy**has a coefficient of**a**,**bxy**has a coefficient of**b**.

## 2

Identify the coefficients of the like terms.

## 3

Subtract the coefficients from each other.

## 4

Make the term found in

**Step 3**(a − b) the coefficient of the term (xy).## Answer:

We have subtacted the like terms from each other:**axy**−

**bxy**=

**(a − b)xy**

## Real Examples of How to Subtract Like Terms in Algebra

More examples of how to subtract like terms in algebra are given below. Can you see that the coefficients have been subtracted in each case?## What Is a Like Term in Algebra?

Like terms are terms with the same combination of letters (and/or brackets). The only difference is the sign or number in front of the group of letters. Each letter (and/or bracket) in a like term must have the same exponents - the number that sits to the top-right of the letter.## What Is a Term in Algebra?

A term is a collection of numbers, letters and brackets all multiplied together. Terms are separated by + or − signs in an algebraic expression.## You might also like...

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