# Expand Using the Binomial Theorem (3a-2b)^3

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.
Simplify each term.
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 .
Apply the product rule to .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Simplify .
Rewrite using the commutative property of multiplication.
Raise to the power of .
Multiply by .
Simplify.
Multiply by .
Apply the product rule to .
Rewrite using the commutative property of multiplication.
Raise to the power of .
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 .
Expand Using the Binomial Theorem (3a-2b)^3