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4 votes
Which pair of expressions below contains like terms?

A. 7x and 8xy
B. 12x and 12y
C. 5xy and 7xyz
D. 3yz and 9yz

2 Answers

5 votes
D. because yz is the same as yz
User Bodo Thiesen
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2 votes

Answer: D. 3yz and 9yz.

Explanation:

In an algebraic expression , the like terms are the terms that have the exact same variables with the same power or exponent.

A. 7x and 8xy , here y is not present in "7x" but present in '8xy' , so they arfe not like terms.

B. 12x and 12y , here variables are different in both terms , so they arfe not like terms.

C. 5xy and 7xyz , here z is not present in "5xy" but present in '7xyz' , so they arfe not like terms.

D. 3yz and 9yz , here the variables 'yz' are exactly same in both the terms, therefore , they are like terms.

Hence , the correct answer is D. 3yz and 9yz.

User Jonatas Walker
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