Addition of Unlike Terms

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 - 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]

3. 3x3 + 7y

Here 3x3 and 7y both are unlike terms so it will remain as it is.

Therefore, the answer is 3x3 + 7y

Terms

Like and Unlike Terms

Like Terms

Addition of Like Terms

Subtraction of Like Terms

Adding and Subtracting Like Terms

Unlike Terms

Addition of Unlike Terms

Subtraction of Unlike Terms






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Terms - Worksheets

Worksheet on Like and Unlike Terms

Worksheet on Addition of Like Terms

Worksheet on Subtraction of Like Terms

Worksheet on Adding and Subtracting Like Terms

Worksheet on Combining Like Terms

Worksheet on Addition of Unlike Terms

Worksheet on Subtraction of Unlike Terms