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.
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Simplify .
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Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Raise to the power of .
Multiply .
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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 .
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Subtract from .
Add and .
Reorder the factors in the terms and .
Subtract from .
Add and .
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