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

Answer:

$x^{3}-(\sqrt{x} )^3$

Step-by-step 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

             = $x^3-(3)^{\frac{3}{2}}$

             = $x^{3}-(\sqrt{x} )^3$

Therefore, we can rewrite the expression as

$x^{3}-(\sqrt{x} )^3$