Question

W or the following interpretations for the given expression is correct?

Answer 1

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

Explanation:

Given

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

Required

Interpret

To interpret the given expression, we start by splitting it to two (Numerator and Denominator)

`Numerator = (5y^2 - 7)^3`

`Denominator = (2y)^2`

Expand the numerator

`Numerator = (5y^2 - 7)^3`

`Numerator = (5 * y^2 - 7)^3`

Now, we can interpret as follows;

`Numerator = (5 * y^2 - 7)^3` -> The cube of
`(5 * y^2 - 7)`

`(5 * y^2 - 7)^3` -> The cube of difference between
`5 * y^2` and 7

`(5 * y^2 - 7)^3` -> The cube of difference between 5 * square of y and 7

`(5 * y^2 - 7)^3` -> The cube of difference between 5 times square of y and 7

Similarly;

`Denominator = (2y)^2`

`Denominator = (2*y)^2`

Interpret

`Denominator = (2*y)^2` -> The square of 2 * y

`Denominator = (2*y)^2` -> The square of 2 times y

Bringing the interpretation of the numerator and the denominator, we have;

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

Hence, option A is correct