# 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 eight hundred sixty-nine million two hundred seventy-nine thousand two hundred fifty-two

### Interesting facts

• 869279252 has 32 divisors, whose sum is 1981923552
• The reverse of 869279252 is 252972968
• Previous prime number is 1907

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 50
• Digital Root 5

### Name

Name one billion five hundred ninety-three million forty-five thousand eight hundred thirty-eight

### Interesting facts

• 1593045838 has 8 divisors, whose sum is 2390623200
• The reverse of 1593045838 is 8385403951
• Previous prime number is 2281

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1

### Name

Name seven hundred eighty-seven million two hundred eighty thousand twenty-six

### Interesting facts

• 787280026 has 8 divisors, whose sum is 1271760084
• The reverse of 787280026 is 620082787
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 40
• Digital Root 4