Question

Which of the following interpretations for the given expression is correct?

(x + 9)² - 4

A.The sum of the square of x and 9 - 4.

B. The difference of the square of x and 9 - 4.

C. The sum of the square of x, 9, and -4.

D. The difference of the square of x + 9 and 4.

Answer 1

D

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".