AnswersOC27 ALG 2-1200330-S1-Degele-VOL7006PSum and Difference of Two Cubes

Sum and Difference of Two Cubes Answers

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Which expression is a perfect cube?

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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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What is the cube root of ?

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What is the cube root of ?

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What is the factored form of ?

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A cube with side length is stacked on another cube with side length . What is the total volume of the cubes in factored form?

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Which expression is a difference of cubes?

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What is the cube root of ?

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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.
D
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 factored form of ?

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13

Which expression is a sum of cubes?

A
Option
Option A
B
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Option B
C
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Option C
D
Option
Option D
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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
C
definition of additive inverse
D
definition of multiplicative inverse
16

Which expression is a sum of cubes?

A
Option
Option A
B
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Option B
C
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Option C
D
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Option D
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Which expression is a perfect cube?

A
Option
Option A
B
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Option B
C
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Option C
D
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Option D

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