AnswersCommon Core Algebra I B-ICFactoring Polynomials: Sum and Difference of Cubes

Factoring Polynomials: Sum and Difference of Cubes Answers

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1
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Which are perfect cubes? Check all that apply.

A
64
B
x16
C
8x3
D
27x4
E
81x6
F
125x9
2
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What is ?

Question illustration
A
5x2
B
5x4
C
25x2
D
25x4
3

What is 64x6 + 27 written as a sum of cubes?

A
(4x)3 + 33
B
(4x2)3 + 33
C
(4x2)3 + 93
D
(4x3)3 + 33
4

What is 64x12 – 1,000 written as a difference of cubes?

A
(4x)3 – 103
B
(8x)3 – 1003
C
(4x4)3 – 103
D
(8x4)3 – 1003
5

What is the factored form of x3 + 125?

A
(x3 + 5)(x6 – 5x3 + 25)
B
(x3 – 5)(x6 + 5x3 + 25)
C
(x + 5)(x2 – 5x + 25)
D
(x – 5)(x2 + 5x + 25)
6

Factor 125x9 + 64.

A
(5x3 – 4)(25x6 + 20x3 + 16)
B
(5x3 – 4)(25x3 + 20x3 + 16)
C
(5x3 + 4)(25x6 – 20x3 + 16)
D
(5x3 + 4)(25x3 – 20x3 + 16)
7

What is the factorization of 1,000x6 – 27?

A
(10x2 – 3)(100x2 + 30x2 + 9)
B
(10x2 – 3)(100x4 + 30x2 + 9)
C
(10x3 – 3)(100x2 + 30x3 + 9)
D
(10x3 – 3)(100x6 + 30x3 + 9)
8

Factor 64 – x15.

A
(4 – x3)(16 + 4x3 + x3)
B
(4 – x3)(16 + 4x3 + x6)
C
(4 – x5)(16 + 4x5 + x5)
D
(4 – x5)(16 + 4x5 + x10)
9

Which are sums of perfect cubes? Check all that apply.

A
8x6 + 27
B
x9 + 1
C
81x3 + 16x6
D
x6 + x3
E
27x9 + x12
F
9x3 + 27x9

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