Addition of unlike terms are discussed here.

The sum of two or more like terms is a single like term; but the two unlike terms cannot be added together to get a single term.

Addition of two positive unlike terms:

Suppose, to find the sum of two unlike terms **x** and **y**, we need to connect both the terms by using an addition symbol and express the result in the form of **x + y**.

Therefore, the sum of two unlike terms x and y = x + y.

Addition of positive and negative unlike terms:

Suppose, to find the sum of two unlike terms **x** and **-y**, we need to connect both the terms by using an addition symbol [**x + **(**-y**)] and express the result in the form of **x ****- y**.

Therefore, the sum of two unlike terms x and -y = x + (-y) = x - y.

Addition of negative and positive unlike terms:

Suppose, to find the sum of two unlike terms **-x** and **y**, we need to connect both the terms by using an addition symbol [**(-x****) + ****y**] and express the result in the form of -**x ****+ y**.

Therefore, the sum of two unlike terms -x and y = (-x) + y = -x + y.

Addition of negative and negative unlike terms:

Suppose, to find the sum of two unlike terms **-x** and -**y**, we need to connect both the terms by using an addition symbol [**(-x****) + ****(-y****)**] and express the result in the form of -**x ****- y**.

Therefore, the sum of two unlike terms -x and -y = (-x) + (-y) = -x - y.

**For example:**

**1.** The unlike terms 2ab and 4bc cannot be added together to form a single term.

All that which can be done is to connect them by the sign of addition and leave the result in the form 2ab + 4bc.**2.** 5x + 3y + 2x + 3x.

= 5x + 2x + 3x + 3y.

= 10x + 3y, [Here 3y is an unlike term]

Here 3x

Therefore, the answer is 3x

**● ****Terms**

Adding and Subtracting Like Terms

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