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Question

In the given expression,
x3y+4x2y2+3xy3+7x2y2+3x3+4y2+6xy+7x3y+8y2
Which of the following are like terms?


A

4x2y2 and 7x2y2

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B

3x3 and 7x3y

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C

6xy and 4y2

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D

3xy3 and 8y2

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Solution

The correct option is A

4x2y2 and 7x2y2


4x2y2 and 7x2y2 are like terms since these expressions have x2y2 with a constant coefficient.

Note that for two terms to be like terms, they should have the same set of variables, with each variable raised to the same power in each of the terms.

3x3 and 7x3y are not like terms.
6xy and 4y2 are not like terms.

3xy3 and 8y2 are not like terms


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