AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Sum and Difference of Two Cubes

Sum and Difference of Two Cubes Answers

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What is the factored form of ?

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What is the justification for the first step in proving the formula for factoring the sum of cubes?a3 + b3 = (a + b)(a2 – ab + b2) = a3 – a2b + ab2 + a2b – ab2 + b3

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distributive property
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commutative property
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definition of additive inverse
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definition of multiplicative inverse
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Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

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Which expression is a sum of cubes?

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Starting with the formula for the difference of cubes, which pair of steps can be used to show that the expressions are equivalent?

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Apply the distributive property, and then combine like terms.
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Combine like terms, and then apply the distributive property.
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Apply the commutative property, and then combine like terms.
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Combine like terms, and then apply the commutative property.
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What is the cube root of ?

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What is the factored form of ?

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What is the cube root of ?

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Which expression is a perfect cube?

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