Rewrite as .

Rewrite as .

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

Combine and .

Combine and .

Combine and .

Apply the product rule to .

Raise to the power of .

Rewrite using the commutative property of multiplication.

Multiply .

Multiply and .

Multiply by .

Combine and .

Combine and .

Combine and .

Apply the product rule to .

Raise to the power of .

Factor.

Factor out of each term.

Remove unnecessary parentheses.

Factor 1/8x^3-1/27y^3