Sum and Difference of Two Cubes Answers
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1
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Choose the expressions that are perfect cubes.
A
–3B
125a6C
8m20D
100w24x3E
–64q12F
–c30d9f18g32
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Simplify.
A
OptionB
OptionC
OptionD
Option3
Factor the expression.
Answers:
Blank 1:5
Blank 2:25
Blank 3:5
Blank 4:1
7
Find the cube root.
A
OptionB
OptionC
OptionD
Option8
Choose the expressions that are sums or differences of two cubes.
A
64 + a12b51B
–t6 + u3v21C
8h45 – k15D
75 – n3p6E
–27 – xz99
Question text not available
Answers:
Selection 1:5q²
Selection 2:r²s
10
What is a? 2q²r8q²r2q³r8q³r
A
2q²rB
8q²rC
2q³rD
8q³r11
What is a? 5q²125q²5q³125q³
A
5q²B
125q²C
5q³D
125q³12
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)13
Choose the expression that represents the total volume of the cubes.
A
OptionB
OptionC
OptionD
Option14
What is b? 3s³t8s²t3s²t8s³t
A
3s³tB
8s²tC
3s²tD
8s³t15
What is b? r³sr²s²rs²r²s
A
r³sB
r²s²C
rs²D
r²s16
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)17
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
OptionB
OptionC
OptionD
Option18
[image 1] [image 2]
Answer:
2
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