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Worksheets

Special Products

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What is the product of (x-4)(x-4)?

a)

x2-8x-16

b)

x2-8x-8

c)

x2-8x+16

d)

x2+8x+16

2.

What is the pattern for a cube of a binomial?

a)

a3+3ab+3ba+b3

b)

a3+3a2b+3ab+b3

c)

a3+3a2b2+3ab+b3

d)

a3+3a2b+3ab2+b3

3.

What is (4x2+5)(4x2-5)?

a)

16x4 - 25

b)

16x2 - 25

c)

8x4 - 10

d)

8x2 - 10

4.

Special products are known for its _________________ .

a)

variables

b)

exponents

c)

patterns

d)

products

5.

What is the unit used in finding the volume of a cube?

a)

unit

b)

square unit

c)

cubic unit

d)

area

6.

What is (3x - 3)3 ?

a)

27x3 - 81x2 + 81x - 27

b)

27x3 - 81x + 81x2 - 27

c)

27x3 - 27x2 + 81x - 27

d)

27x3 - 27x2 + 27x2 - 27

7.

Which of the following is a perfect square and at the same time a perfect cube?

a)

0

b)

1

c)

65

d)

178

8.

Which of the choices is a perfect square term?

a)

b5

b)

x2y9

c)

a10k12o18

d)

r7y6

9.

Which of the following is a perfect square and a perfect cube term?

a)

0

b)

64

c)

73

d)

81

10.

What are the factors of 81?

a)

27 x 3

b)

7 x 8

c)

9 x 9

d)

81 x 1

e)

12 x 8

11.

Which among the choices is a cube?

a)
b)
c)
d)
12.

Find the product of (2x+1)(2x+1)(2x+1).

a)

4x3+3x2+3x+1

b)

8x3+6x2+3x+1

c)

8x3+12x2+4x+1

d)

8x3+12x2+6x+1

13.

(5a5 - 2b)2

a)

10a10 - 10ab + 4b2

b)

25a10 - 20a5b + 4b2

c)

25a10 + 10a5b + 10b2

d)

25a10 - 7a5b + 4b2

14.

What is the middle operator in the product of the sum and difference of two binomials?

a)

addition

b)

division

c)

multiplication

d)

subtraction

15.

What is the area of a rectangle whose length is (9x + 10) cm. and width is (9x - 10) cm.?

a)

81x2 - 100 cm.

b)

81x2 + 20 sq. cm.

c)

18x2 - 180 cu. cm.

d)

81x2 - 100 sq. cm.

16.

What is the volume of a cube whose side is (6a2 - 3b) feet?

a)

162a2b2 + 216a6 - 324ba4 - 27b3 cu. feet

b)

126a2b2 + 612a6 - 243ba4 - 27b3 feet

c)

621a2b2 + 621a6 - 423ba4 - 27b3 cu. feet

d)

216a2b2 + 126a6 - 234ba4 - 27b3 feet

17.

How many equal faces does a cube have?

a)

3

b)

4

c)

5

d)

6

18.

The square of a binomial always produces a ___________________ .

a)

trinomial

b)

perfect square

c)

perfect square trinomial

d)

quadratic trinomial

19.

Which of the following are examples of a perfect cube?

a)

8

b)

125

c)

342

d)

216

e)

1000

20.

Solve (12 + 14x4)3.

a)

2744x12 + 6509x8 + 7361x4 + 980

b)

4722x12 + 2222x8 + 9001x4 + 3741

c)

2744x12 + 7056x8 + 6048x4 + 1728

d)

2477x12 + 569x8 + 48x4 + 17