Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (i) 1, 100
1, 100
Since 1 and 100 have no variable.
∴ They are like terms
Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (ii) –7x, 5/2x
–7x, 5/2 𝑥
−7x has variable 𝑥
5/2 𝑥 has variable 𝑥
−7𝑥 and 5/2 𝑥 have same variable x
∴ They are like terms.
Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (iii) –29x, –29y
–29x, –29y
–29x has variable x
–29y has variable y
–29x and –29y have different variables
∴ They are unlike terms.
Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (iv) 14xy, 42yx
14xy, 42yx
14xy has variable xy
42yx has variable yx i.e. xy(∴ yx = xy)
So, 14xy and 42yx have same variable xy
∴ They are like terms
Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (v) 4m2p, 4mp2
4m2p, 4mp2
4m2p has variable m2p
4mp2 has variable mp2
4m2p and 4mp2 have different variables
∴ They are unlike terms.
Ex 12.1, 6 State whether a given pair of terms is of like or unlike terms. (vi) 12xz, 12x2z2
12xz, 12x2z2
12xz has variable xz
12x2z2 has variable x2z2
12xz and 12x2z2 have different variables
∴ They are unlike terms.

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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