AnswersAZ-Common Core Algebra II ASum and Difference of Two Cubes

Sum and Difference of Two Cubes Answers

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1
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What is the factored form of ?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
2
Free Preview

Which expression is a sum of cubes?

A
mc016-1.jpg
Option A
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
mc016-4.jpg
Option D
3

What is the cube root of ?

Question illustration
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mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
4

What is the cube root of

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
5

What is the cube root of ?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
6

Which number is a perfect cube?

A
88
B
121
C
243
D
343
7

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.
8

Which expression is a perfect cube?

A
mc006-1.jpg
Option A
B
mc006-2.jpg
Option B
C
mc006-3.jpg
Option C
D
mc006-4.jpg
Option D
9

Which expression is a sum of cubes?

A
mc011-1.jpg
Option A
B
mc011-2.jpg
Option B
C
mc011-3.jpg
Option C
D
mc011-4.jpg
Option D
10

Which expression is a difference of cubes?

A
mc015-1.jpg
Option A
B
mc015-2.jpg
Option B
C
mc015-3.jpg
Option C
D
mc015-4.jpg
Option D
11

Which expression is a perfect cube?

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
12

What is the factored form of ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
13

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
14

What is the factored form of ?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
15

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

Question illustration
A
mc024-3.jpg
Option A
B
mc024-4.jpg
Option B
C
mc024-5.jpg
Option C
D
mc024-6.jpg
Option D
16

What is the factored form of ?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
mc021-5.jpg
Option D
17

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

A
mc029-1.jpg
Option A
B
mc029-3.jpg
Option B
C
mc029-4.jpg
Option C
D
mc029-5.jpg
Option D

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