# Expand Using the Binomial Theorem (2x^3-1)^4

Expand Using the Binomial Theorem (2x^3-1)^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 .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Anything raised to is .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Multiply by .
Evaluate the exponent.
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Simplify.
Multiply by .
Raise to the power of .
Multiply by .
Multiply by .
Apply the product rule to .
Anything raised to is .
Multiply by .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Anything raised to is .
Multiply by .
Raise to the power of .
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### Name

Name one billion twenty-eight million three hundred eighty-six thousand six hundred nine

### Interesting facts

• 1028386609 has 4 divisors, whose sum is 1082512240
• The reverse of 1028386609 is 9066838201
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name four hundred sixty-three million one hundred sixty-five thousand three hundred forty-one

### Interesting facts

• 463165341 has 8 divisors, whose sum is 631915680
• The reverse of 463165341 is 143561364
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 33
• Digital Root 6

### Name

Name one billion two hundred eighty-three million nine hundred twenty-seven thousand eight hundred eight

### Interesting facts

• 1283927808 has 1024 divisors, whose sum is 43874246808
• The reverse of 1283927808 is 8087293821
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 48
• Digital Root 3