Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given

$\frac{(5y^2 - 7)^3}{(2y)^2}$

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