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 .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Anything raised to is .

Multiply by .

Simplify.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply by .

Anything raised to is .

Multiply by .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Expand Using the Binomial Theorem (x+y^2)^2