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.
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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