Question

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

the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y
the difference of the cube of 5 times the square of y and 7 divided by 2 times the square of y
the cube of the difference of the square of 5 times y and 7 divided by the square of 2 times y
the cube of the difference of 5 times the square of y and 7 divided by 2 times the square of y

Answer 1

The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.

Explanation:

The give expression is:

`((5y^(2)-7)^(3) )/((2y)^(2) )`

In words, this expression would have all these statement referring to each operation:

1. The cube of the difference, because the difference is inside the cubic power.
2. Of 5 times the square of y and 7, because these are the terms that are being subtracted.
3. Divided by, because the expression described before is in a quotient.
4. The square of two times y, because the both factor are inside the squared power.

Therefore, the first statement is correct.

Answer 2

The expression is
(5y² -7)³/(2y)²
I believe the best answer is the first option; the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.