# 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 two billion one hundred thirty million six hundred twenty-five thousand forty-three

### Interesting facts

• 2130625043 has 4 divisors, whose sum is 2131703640
• The reverse of 2130625043 is 3405260312
• Previous prime number is 1979

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 26
• Digital Root 8

### Name

Name nine hundred sixty-two million three hundred nineteen thousand seven hundred fifty

### Interesting facts

• 962319750 has 32 divisors, whose sum is 1887256800
• The reverse of 962319750 is 057913269
• Previous prime number is 25

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 42
• Digital Root 6

### Name

Name one billion seven hundred seventy-eight million seven hundred thirty-nine thousand five hundred seventy-five

### Interesting facts

• 1778739575 has 32 divisors, whose sum is 2582496000
• The reverse of 1778739575 is 5759378771
• Previous prime number is 349

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 59
• Digital Root 5