# 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 nine hundred ninety-three million five hundred eighty-six thousand six hundred forty-four

### Interesting facts

• 1993586644 has 32 divisors, whose sum is 5127595776
• The reverse of 1993586644 is 4466853991
• Previous prime number is 7213

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 55
• Digital Root 1

### Name

Name two billion eight million three hundred fifty thousand four hundred eighty-six

### Interesting facts

• 2008350486 has 8 divisors, whose sum is 3347250840
• The reverse of 2008350486 is 6840538002
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion one hundred sixty-seven million one hundred seventy-nine thousand five hundred seventy-five

### Interesting facts

• 1167179575 has 8 divisors, whose sum is 1170969696
• The reverse of 1167179575 is 5759717611
• Previous prime number is 1061

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 49
• Digital Root 4