Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

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

Simplify.

Apply the product rule to .

Raise to the power of .

Multiply by .

Rewrite using the commutative property of multiplication.

Multiply by .

Apply the product rule to .

Raise to the power of .

Remove unnecessary parentheses.

Factor 81x^6+24x^3y^3