Question

Which of the following expressions represents the verbal description below?

the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1

Answer 1

((4x-6)^3)/(2(x+1))

Answer 2

`((4x - 6)^3)/(2 (x + 1))`

Explanation:

the difference of 4 times x and 6 4x - 6

the cube of the difference of 4 times x and 6
`(4x - 6)^3`

the sum of x and 1 x + 1

2 times the sum of x and 1 2(x + 1)

the cube of the difference of 4 times x and 6

divided by 2 times the sum of x and 1
`((4x - 6)^3)/(2 (x + 1))`

Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.

`((4x - 6)^3)/(2 (x + 1))`