Question

How would the expression x^3-3√(3) be rewritten using difference of cubes

Answer 1

I'm not sure if this is what you mean, but the expression can be written as:
(x^3/2 + 3^3/4)(x^3/2 - 3 ^3/4) or ((√x)³ + (⁴√3)³)((√x)³ - (⁴√3)³)

Answer 2

`x^(3)-(√(x) )^3`

Explanation:

The given expression is x³ - 3√3

We have to rewrite the expression in the forem of difference of cubes.

x³ - 3√3 = x³ - √(3)³

=
`x^3-(3)^{(3)/(2)}`

=
`x^(3)-(√(x) )^3`

Therefore, we can rewrite the expression as

`x^(3)-(√(x) )^3`