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Alekssandra [29.7K]
3 years ago
12

3. Which two expressions are equivalent for any value of y? *

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

3(3y+3)=3(3y)+3(3)

3(3y+3)=9y+9

Clearly, 3(3y+3) is not equivalent to 6y+6 or 9y+6. So, options A and B are incorrect.

9(y+3)=9(y)+9(3)

9(y+3)=9y+27

9(y+3)=27+9y

The expression 9(y+3) is not equivalent to 12+9y. So, option C is incorrect.

The expression 9(y+3) is equivalent to 27+9y.

Therefore, the correct option is D.

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