How like and unlike terms are different from each other?
When the terms have the same literal factors, they are called like terms.
For example: 4x, - 7x are like terms.
Definition of Like Terms:
The terms which have the same literal coefficients raised to the same powers but may only differ in numerical coefficient are called similar or like terms.
For Example:
(i) 3m and –7m are like terms.
(ii) z and \(\frac{3}{2}\)z are like terms.
When the terms have the different literal factors, they are called unlike terms.
For example: xy, - 7xyz are unlike terms.
Definition of Unlike Terms:
The terms which do not have the same literal coefficients
raised to the same powers are called dissimilar
or unlike terms.
For Example:
(i) 9p and 9q are unlike terms
(ii) \(\frac{x}{3}\) and \(\frac{y}{3}\) are unlike terms
Solved examples on like and unlike terms:
Here we see that all the terms of the given expression are unlike.
4. List out the like terms from each set:
(i) 7a, -5a, -8b, -a, a/3
7a, -5a, -a, a/3 are the set of like terms.
(ii) –xy, 3y, 5xy, -x, -xy/11
–xy, 5xy, -xy/11 are the set of like terms.
(iii) 2p^{3}q^{2}, -4p^{2}q^{3}, 7q^{2}p^{3}, -2p^{3}q^{2}5. Which of the following are like terms ?
(i) 3xy, -2y, 8x
(ii) 5mn, mn, -3mn
(iii) -7pq, 5pq, 6p
(iv) -4uv, v, 5uv
Solution:
Like terms have the same literal factors.
Thus, the option (ii) satisfies the condition.
Note: We can add or subtract like terms but in case of unlike terms we cannot add or subtract.
● Terms
Adding and Subtracting Like Terms
Algebra Page
6th Grade Page
From Like and Unlike Terms to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Sep 18, 24 03:29 PM
Sep 18, 24 02:47 PM
Sep 17, 24 01:47 AM
Sep 17, 24 12:10 AM
Sep 16, 24 11:24 PM
● 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
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.