AnswersNJ-Algebra IIUnit Test

Sum and Difference of Two Cubes Answers

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Which expression is a sum of cubes?

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B
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Option D
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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 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

A
distributive property
B
commutative property
C
definition of additive inverse
D
definition of multiplicative inverse
5

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

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Option A
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6

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
7

What is the cube root of ?

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

What is the factored form of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which expression is a difference of cubes?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which expression is a perfect cube?

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

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