Which of the following is a pair of like terms
(a) -7xy²z, -7x²yz
(b) -10xyz², 3xyz²
(c) 3xyz, 3x²y²z²
(d) 4xyz², 4x²yz

Solution:

We have to find the pair of like terms from the given options.

The terms having the same algebraic factors are called like terms.

(a) -7xy²z, - 7x²yz

Factors of -7xy²z = -7 × x × y × y × z

Factors of - 7x²yz = -7 × x × x × y × z

Therefore, option a is a pair of unlike terms.

(b) - 10xyz², 3xyz²

Factors of - 10xyz² = -10 × x × y × z × z

Factors of 3xyz² = 3 × x × y × z × z

The terms contain xyz².

Therefore, option b is a pair of like terms.

(c) 3xyz, 3x²y²z²

Factors of 3xyz = 3 × x × y × z

Factors of 3x²y²z² = 3 × x × x × y × y × z × z

Therefore, option c is a pair of unlike terms.

(d) 4xyz², 4x²yz

Factors of 4xyz² = 4 × x × y × z × z

Factors of 4x²yz = 4 × x × x × y × z

Therefore, option d is a pair of unlike terms.

✦ Try This: A polygon has 27 diagonals. How many sides does it have

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

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NCERT Exemplar Class 7 Maths Chapter 10 Problem 6

Which of the following is a pair of like terms (a) -7xy²z, -7x²yz (b) -10xyz², 3xyz² (c) 3xyz, 3x²y²z² (d) 4xyz², 4x²yz

Summary:

The pair of like terms from the given option is -10xyz², 3xyz².

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