Question

Match each expression with its verbal description.

Tiles
the difference of x and 4, cubed, times 6
4 less than the 3rd power of the product of 6 and X
the product of x cubed and 6, minus 4-
4 less than 6x, cubed

Answer 1

[image]

Step-by-step explanation: [plato]

Answer 2

Part 1)
`6(x-4)^3`

Part 2)
`(6x)^3-4`

Part 3)
`(6x^3)-4`

Part 4)
`(6x-4)^3`

Explanation:

Part 1) The difference of x and 4, cubed, times 6

we know that

The difference of x and 4 is
`(x-4)`

cubed is
`(x-4)^3`

times 6 is
`6(x-4)^3`

therefore

`6(x-4)^3`

Part 2) 4 less than the 3rd power of the product of 6 and X

we know that

the product of 6 and X is
`(6x)`

the 3rd power is
`(6x)^3`

4 less is
`(6x)^3-4`

therefore

`(6x)^3-4`

Part 3) the product of x cubed and 6, minus 4

we know that

the product of x cubed and 6 is
`(6x^3)`

minus 4
`(6x^3)-4`

Part 4) 4 less than 6x, cubed

we know that

4 less than 6x is (
`(6x-4)`

cubed is
`(6x-4)^3`