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Find the like term of 3xy².

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2y²x

6xy

x²y

3x²y²

answer is C.

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Detailed Solution

Let us check each option one by one.

Option A:

The expressions 3xy² and x²y have the same variables but have different powers. So, 3xy²and x²y are not like terms.

Option B:

The expressions 3xy² and 3x²y² have the same variables but have different powers. So, 3xy²and 3x²y² are not like terms.

Option C:

The expressions 3xy² and 2y²x have the same variables with the same powers. So, 3xy²and 2y²x are like terms.

Option D:

The expressions 3xy² and 6xy have the same variables but have different powers. So, 3xy²and 6xy are not like terms.

Hence, 2y²x is the correct alternative.

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