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Question

Which of the following is a pair of like terms?


A

7xy2z,7x2yz

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B

10xyz2,3xyz2

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C

3xyz,3x2y2z2

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D

4xyz2,4x2yz

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Solution

The correct option is B

10xyz2,3xyz2


Explanation for correct answers:

Determine the pair of like terms:

Like terms are the terms that exactly have the same variables with equal powers.

The terms 10xyz2,3xyz2 have the same variables with the same powers.

So, 10xyz2,3xyz2 are like terms.

Thus, option B is correct.

Explanation for all incorrect answers:

The exponent of x in the term 7xy2z is 1 but 2 in 7x2yz.

So, 7xy2z,7x2yz are not like terms.

Thus, option A is incorrect.

The exponent of x in the term 3xyz is 1 but 2 in 3x2y2z2.

So, 3xyz,3x2y2z2 are not like terms.

Thus, option C is incorrect.

The exponent of x in the term 4xyz2 is 1 but 2 in 4x2yz.

So, 4xyz2,4x2yz are not like terms.

Thus, option D is incorrect.

Hence, the correct option is 'B'.


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