# 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 one hundred twenty-eight million one hundred fifty-five thousand one hundred ninety-two

### Interesting facts

• 128155192 has 64 divisors, whose sum is 475600896
• The reverse of 128155192 is 291551821
• Previous prime number is 127

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 34
• Digital Root 7

### Name

Name two billion seventy-five million nine hundred twenty-eight thousand nine hundred seventy

### Interesting facts

• 2075928970 has 8 divisors, whose sum is 3736672164
• The reverse of 2075928970 is 0798295702
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 49
• Digital Root 4

### Name

Name eight hundred sixty-nine million six hundred ninety-one thousand four hundred fifty-three

### Interesting facts

• 869691453 has 8 divisors, whose sum is 1196994816
• The reverse of 869691453 is 354196968
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 51
• Digital Root 6