Answer: the first option, the cube of the of difference of 5 times the square of y and 7 divided by the square of 2 times y.
Justification:
Let's follow the word instructions step-by step
1) The cube of the difference means that you have to write the difference and then make the cube of that. So it were the difference of x and y, the cube of the difference is (x - y)^3.
2) But it is not the difference of x and y, it is the difference of 5 times the square of y and 7.
The difference of 5 times the square of y and 7 is 5y^2 - 7.
Its cube is (5y^2 - 7)^3
3) Now the expression resulted in the point 2 has to be divides by the square of 2 tmes y.
The square of 2 times y is (2y)^2.
Then, the division leads to the expression:
(5y^2 - 7)^3
--------------------
(2y)^2
Which is the given expression.
