# 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 one billion twenty-one million nine hundred six thousand nine hundred sixty

### Interesting facts

• 1021906960 has 64 divisors, whose sum is 5198656788
• The reverse of 1021906960 is 0696091201
• Previous prime number is 205

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 34
• Digital Root 7

### Name

Name six hundred thirty million three hundred nineteen thousand six hundred eighty-six

### Interesting facts

• 630319686 has 32 divisors, whose sum is 1272727680
• The reverse of 630319686 is 686913036
• Previous prime number is 673

### Basic properties

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

### Name

Name one billion four hundred eighty-five million six hundred eighty-one thousand two hundred sixty-six

### Interesting facts

• 1485681266 has 16 divisors, whose sum is 2285057304
• The reverse of 1485681266 is 6621865841
• Previous prime number is 157

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 47
• Digital Root 2