# Expand Using the Binomial Theorem (r-3t)^4

Expand Using the Binomial Theorem (r-3t)^4
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 .
Apply the product rule to .
Rewrite using the commutative property of multiplication.
Raise to the power of .
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 .
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### Name

Name eight hundred twenty million eight hundred eighty-five thousand two hundred thirty-two

### Interesting facts

• 820885232 has 32 divisors, whose sum is 4155731568
• The reverse of 820885232 is 232588028
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name one billion five million six hundred four thousand six hundred eighty-nine

### Interesting facts

• 1005604689 has 32 divisors, whose sum is 1416499200
• The reverse of 1005604689 is 9864065001
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name two billion seventy-three million three hundred eleven thousand two hundred one

### Interesting facts

• 2073311201 has 4 divisors, whose sum is 2232796692
• The reverse of 2073311201 is 1021133702
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 20
• Digital Root 2