Check sibling questions

Like terms have same variables

Unlike terms have different variables

 

Let’s look at some examples

 

2𝑥, 3𝑥

2𝑥 & 3𝑥 have the same variable 𝑥

So they are like terms

 

3𝑥 2 y, 2y𝑥 2

3x 2 y has variable 𝑥 2 y

2yx 2 has variable y𝑥 2 i.e 𝑥 2 y                      (As x 2 y = y𝑥 2 )

So, they are like terms

 

−4𝑥y, 3xy

−4𝑥y has variable 𝑥y

   3𝑥y has variable 𝑥y

−4xy and 3xy have same variable xy.

So, they are like terms.

 

4𝑥y, 3𝑥

4𝑥y has variable 𝑥y

3𝑥 has variable 𝑥

4𝑥y, 3𝑥 have different variables.

So, they are unlike terms.

 

21z, 39z

21z  has variable z

39z has Variable z

21z and 39z has same variable z

So, they are like terms.

 

8, 9

Since both 8 & 9 do not have a variable

∴ They are like terms

 

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.