Question

Which of the following expressions represents the verbal description below

Answer 1

Answer:

`((4+9x)^3)/(5x(x-1))`

Step-by-step explanation:
For the numerator:
the cube of the sum of 4 and 9 times x.
This is translated as:
a parentheses with the sum inside or (4+9x)³ in the numerator

For the denominator:
I product of two terms 5x and x-1.
This is translated as:
(5x)(x-1) in the denominator.

Combine them for:

`((4+9x)^3)/(5x(x-1))`

Answer 2

The correct answer is the third option
`((4+9x)^3)/(5x(x-1))`

Explanation :

The numerator
9 times x ⇒⇒⇒ 9x
the sum of 4 and 9 times x ⇒⇒⇒ 4+9x
the cube of the sum ⇒⇒⇒ (4+9x)³

The denominator:
5 times x ⇒⇒⇒ 5x
the difference of x and 1 ⇒⇒⇒ x-1
the product of them ⇒⇒⇒ 5x(x-1)