AnswersMathematics III ASum and Difference of Two Cubes

Sum and Difference of Two Cubes Answers

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What is the cube root of ?

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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?

A
Apply the distributive property, and then combine like terms.
B
Combine like terms, and then apply the distributive property.
C
Apply the commutative property, and then combine like terms.
D
Combine like terms, and then apply the commutative property.
4

What is the cube root of ?

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Which expression is a perfect cube?

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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
B
commutative property
C
definition of additive inverse
D
definition of multiplicative inverse
7

What is the cube root of ?

Question illustration
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Option
Option A
B
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Option B
C
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Option C
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Option D
8

Which expression is a sum of cubes?

A
Option
Option A
B
Option
Option B
C
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Option C
D
Option
Option D
9

What is the cube root of

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What is the factored form of ?

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