# Verify the Identity x^3-2=(x- cube root of 2)(x^2+ cube root of 2x+ cube root of 4)

Verify the Identity x^3-2=(x- cube root of 2)(x^2+ cube root of 2x+ cube root of 4)
Simplify the right side.
Simplify .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Simplify each term.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Raise to the power of .
Multiply .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming real numbers.
Multiply by .
Combine the opposite terms in .
Subtract from .
Reorder the factors in the terms and .
Subtract from .
Since the two sides have been shown to be equivalent, the equation is an identity.
is an identity.
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### Name

Name seventy-two million one hundred seventeen thousand nine hundred ten

### Interesting facts

• 72117910 has 16 divisors, whose sum is 137448576
• The reverse of 72117910 is 01971127
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 28
• Digital Root 1

### Name

Name one billion nine hundred sixty-three million one hundred twenty-five thousand one hundred ninety-two

### Interesting facts

• 1963125192 has 128 divisors, whose sum is 10246818816
• The reverse of 1963125192 is 2915213691
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name five hundred eighty-four million nine hundred sixty-nine thousand eight hundred seventy-seven

### Interesting facts

• 584969877 has 8 divisors, whose sum is 866622080
• The reverse of 584969877 is 778969485
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 63
• Digital Root 9