# Expand using the Binomial Theorem (p+2r)^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 .
Rewrite using the commutative property of multiplication.
Anything raised to is .
Multiply by .
Anything raised to is .
Multiply by .
Simplify.
Rewrite using the commutative property of multiplication.
Multiply by .
Simplify.
Apply the product rule to .
Rewrite using the commutative property of multiplication.
Raise to the power of .
Multiply by .
Multiply by .
Anything raised to is .
Multiply by .
Apply the product rule to .
Raise to the power of .
Expand using the Binomial Theorem (p+2r)^3

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