Rewrite as .

Rewrite as .

Since both terms are perfect cubes, factor using the difference of cubes formula, where and .

Simplify.

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Cancel the common factor.

Divide by .

Simplify (8x^3-27)/(4x^2+6x+9)