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Mathematics
Algebraic Expressions
Factorization: Formulae of Addition or Subtraction of Two Cubes
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Multiple Choice
What is the factored form of $8a^3 - 27b^3$?
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$(2a - 3b)(4a^2 - 6ab + 9b^2)$
$(2a + 3b)(4a^2 + 6ab + 9b^2)$
$(2a - 3b)(4a^2 + 6ab + 9b^2)$
$(2a + 3b)(4a^2 - 6ab + 9b^2)$
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Factor $a^3 + 8$ using the sum of cubes formula.
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$(a + 2)(a^2 - 2a + 4)$
$(a + 2)(a^2 + 2a + 4)$
$(a - 2)(a^2 + 2a + 4)$
$(a - 2)(a^2 - 2a + 4)$
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Which of the following is the correct formula for the sum of cubes?
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$(a + b)(a^2 + ab + b^2)$
$(a + b)(a^2 - ab + b^2)$
$(a - b)(a^2 + ab + b^2)$
$(a - b)(a^2 - ab + b^2)$
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Choose the option that represents the factorization of $x^3 - 8$.
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$(x - 2)(x^2 - 2x + 4)$
$(x + 2)(x^2 - 2x + 4)$
$(x - 2)(x^2 + 2x + 4)$
$(x + 2)(x^2 + 2x + 4)$
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Which expression is the difference of cubes?
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$x^3 + 27$
$x^3 - 27$
$x^3 + 9$
$27 + x^3$
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