AnswersAZ-Common Core Algebra II ALaws of Exponents

Sum and Difference of Two Cubes Answers

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1
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Choose the expressions that are perfect cubes.

A
–3
B
125a6
C
8m20
D
100w24x3
E
–64q12
F
–c30d9f18g3
2
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Simplify.

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A
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Option A
B
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Option B
C
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Option C
D
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Option D
3

Factor the expression. ( ⇒ 5q2 − r2s) (q4 + q2r2s + r4s2)

Answers:
⇒ 5:1
Part 2:25
Part 3:5
Part 4:1
4

Find the cube root.

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
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Option C
D
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Option D
5

Choose the expressions that are sums or differences of two cubes.

A
64 + a12b51
B
–t6 + u3v21
C
8h45 – k15
D
75 – n3p6
E
–27 – xz9
6

Factor the expression.

Question illustration
Answers:
Blank 1:2
Blank 2:3
Blank 3:4
Blank 4:9
7

What is a? What is b?

Answers:
Selection 1:2q²r
Selection 2:3s²t
8

What is a? What is b?

Answers:
Selection 1:5q²
Selection 2:r²s
9

Factor x3y6 + 27z42.

A
(xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521)
B
(xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78)
C
(x3y6 + 27z42)(x6y12 – 27x3y6z42 + 729z84)
D
(xy2 + 3z14)(x2y4 – 3xy2z14 + 9z28)
10

Choose the expression that represents the total volume of the cubes.

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
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Option C
D
mc001-4.jpg
Option D
11

Question text not available

Answers:
Selection 1:5q²
Selection 2:r²s
12

Factor t12 – r3s15.

A
(t4 – rs5)(t8 – rs5t4 – r2s10)
B
(t4 – rs5)(t8 + rs5t4 + r2s10)
C
(t9 – rs12)(t18 + rs12t9 + r2s24)
D
(t4 + rs5)(t8 – rs5t4 + r2s10)
13

The cubes have a combined volume that is the same as a rectangular prism of the same height. What is the area of the base of the rectangular prism? (Recall: V = Bh)

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
14

What is b?

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15

What is b? 3s³t8s²t✔ 3s²t8s³t

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17

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18

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19

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39

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