# Expand Using the Binomial Theorem (5x-3y)^2

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 .

Raise to the power of .

Apply the product rule to .

Rewrite using the commutative property of multiplication.

Anything raised to is .

Multiply by .

Anything raised to is .

Multiply by .

Simplify.

Multiply by .

Simplify.

Rewrite using the commutative property of multiplication.

Multiply by .

Multiply by .

Apply the product rule to .

Anything raised to is .

Multiply by .

Anything raised to is .

Multiply by .

Apply the product rule to .

Raise to the power of .

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