Use the binomial expansion theorem to find each term. The binomial theorem states .

Expand the summation.

Simplify the exponents for each term of the expansion.

Multiply by .

Apply the product rule to .

Apply the product rule to .

Anything raised to is .

Multiply by .

Anything raised to is .

Multiply by .

Apply the product rule to .

Simplify.

Simplify.

Apply the product rule to .

Multiply by .

Apply the product rule to .

Anything raised to is .

Multiply by .

Anything raised to is .

Multiply by .

Apply the product rule to .

Expand Using the Binomial Theorem (ax+by)^3