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Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (i) 7x, 12y 7x, 12y 7x has variable x 12y has variable y 7x and 12y have different variables So they are unlike terms Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (ii) 15𝑥, –21x 15𝑥, –21𝑥 15𝑥 has variable 𝑥 −21𝑥 has variable 𝑥 15𝑥 and −21𝑥 have same variable 𝑥 So, they are like terms Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (iii) – 4ab, 7ba −4ab, 7ba −4ab has variable ab 7ba has variable ba i.e. ab Hence, −4ab and 7ba have same variable ab So, they are like terms Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (iv) 3xy, 3x 3𝑥y, 3𝑥 3𝑥y has variable xy 3𝑥 has variable y Since 3𝑥y and 3𝑥 have different variables. So, they are unlike terms. Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (v) 6𝑥y2, 9x2y 6𝑥y2, 9x2y 6𝑥y2 has variable xy2 9x2y has variable 𝑥2y Since 6𝑥y2 and 9𝑥y2 have different variables So, they are unlike terms. Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (vi) pq2, – 4pq2 pq2, – 4pq2 pq2 has variable pq2 −4pq2 has variable pq2 Since pq2 and −4pq2 have same variable pq2 So, they are like terms. Example 3 State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms: (vii) mn2, 10mn mn2, 10mn mn2 has variable mn2 10mm has variable mn Since mn2 and 10mm have different variables So, they are unlike terms.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.