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Question 2 of 9
Which of the following interpretations for the given expression is correct?
(5 + 3y2)
(44) 3
the sum of 5 and the cube of 3 times the square of y divided by the cube of the product of 4 andy
the cube of the sum of 5 and square of 3 times y divided by the product of the cube of 4 andy
the cube of the sum of 5 and 3 times the square of y divided by the cube of the product of 4 andy
the cube of the sum of 5 and 3 times the square of y divided by the product of 4 and the cube of y
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Answer:

D

Step-by-step explanation:

First consider a part of the numerator 5 + 3y2. This can be verbally described as "the sum of 5 and 3 times the square of y".

Then, the entire expression in the numerator, (5 + 3y2)3, can be written as "the cube of the sum of 5 and 3 times the square of y".

Next, consider a part of the denominator (4y), which can be verbally described as "the product of 4 and y".

Then, the entire expression in the denominator, (4y)3, can be written as "the cube of the product of 4 and y".

Dividing the two expressions yields the complete expression shown below.

So, the given expression can be interpreted as "the cube of the sum of 5 and 3 times the square of y divided by the cube of the product of 4 and y".