Find Sides of Two Similar Triangles
Find Sides of Two Similar Triangles

Like and Unlike Terms

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

In this section we will discuss about like and unlike terms in solving algebraic expressions.

Like terms : The terms having the same literal (variable) with same exponents are called Like terms.

Example: 1) 12x and -5x 2) 4x2 and ½ x2

Unlike terms : The terms having the same variable with different exponents or different variable with same exponents are called Unlike terms.

Example : 1) 5x and 5y 2) 2x2 and 3y2

Some more examples :

1)In the algebraic expression 5x2y + 7xy2 -3xy – 4yx2
Like terms 5x2y and – 4yx2
Unlike terms 7xy2 and -3xy

2)In the algebraic expression a2 - 3b2 + 7b2 - 9a2 + 6ab + 5

Like terms Unlike terms
a2 and - 9a2 a2and 6ab
- 3b2 and 7b2 7b2

Like terms Unlike terms Reason
16x; 16y Variables are not same
x2y ; -7x2y - Variables as well as exponents are same
- 9ab ; - 6b 1st term contains ab and 2nd term contains 'b' only

Note: Only like terms can be added or subtracted.


(Q.1) Sate whether a given pair of terms is of like or unlike terms.
(a) 23, 203
(b) 12mn, 12m2n2
(c) 3pr2, 12pr2
(d) 2x, 3y
(e) 14ab, 21ab
(f) –3x, x
(g) 4x2 + 3y2-2x2 + y2
(h) -2a2 + 5b2-a2 + b3
(i) 12, 13a, -1/2b, a, -1/2

Algebraic Expressions

Like and Unlike terms in Algebra
Addition of algebraic expressions
Subtraction of algebraic expressions
Multiplication of algebraic expressions
Division of Algebraic Expressions

Home Page