Question

Place each algebraic expressions next to its corresponding verbal description

Answer 1

(a)

x cubed is

`=x^3`

5 times the cube of x is

`=5x^3`

4 times x is

`=4x`

the quotient of 4 times x and 3 is

`=(4x)/(3)`

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

`=5x^3-(4x)/(3)`..........Answer

(b)

5 times cube of x is

`=5x^3`

5 times cube of x divided by 4 times x is

`=(5x^3)/(4x)`..........Answer

(c)

difference of 5 times x cube and 4 is

`=5x^3 -4`

so,

the quotient of the difference of 5 times x cube and 4 and x is

`=(5x^3-4)/(x)`...........Answer

(d)

difference of 5 times x and 4 is

`=5x-4`

so,

the cube of the difference of 5 times x and 4 is is

`=(5x-4)^3`............Answer

Answer 2

(a) the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3

5 times the cube of x cubed is
`5x^3`

he quotient of 4 times x and 3 is
`(4x)/(3)`

The difference is
`5x^3`-
`(4x)/(3)`

(b) 5 times the cube of x divided by 4 times x

5 x^3 divide by 4x. So expression is
`(5x^3)/(4x)`

(c) the quotient of the difference of 5 times x cubed and 4 and x

the difference of 5 times x cubed and 4 is
`5x^3-4`

The quotient of
`5x^3-4` and x is
`(5x^3-4)/(x)`

(d) the cube of the difference 5 times x and 4

difference 5 times x and 5 is 5x -4

the cube of (5x-4) is
`(5x-4)^3`