# Expand using the Binomial Theorem (x-y)^2

Expand using the Binomial Theorem (x-y)^2
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.
Simplify.
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by .
Anything raised to is .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply by .
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### Name

Name two billion one hundred million forty-one thousand sixty-nine

### Interesting facts

• 2100041069 has 8 divisors, whose sum is 2147038200
• The reverse of 2100041069 is 9601400012
• Previous prime number is 521

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 23
• Digital Root 5

### Name

Name one billion four hundred fifteen million four hundred thirteen thousand two hundred eighty-six

### Interesting facts

• 1415413286 has 8 divisors, whose sum is 2426422800
• The reverse of 1415413286 is 6823145141
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion four hundred thirty million fifty-seven thousand eight hundred eighty-four

### Interesting facts

• 1430057884 has 32 divisors, whose sum is 3408395760
• The reverse of 1430057884 is 4887500341
• Previous prime number is 4157

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4