Free Printable Special products

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 (3x - 3)³?

a)

27x³ - 81x² + 81x - 27

b)

27x³ - 81x + 81x² - 27

c)

27x³ - 27x² + 81x - 27

d)

27x³ - 27x² + 27x² - 27

6.

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

7.

(5a⁵ - 2b)²

a)

10a¹⁰ - 10ab + 4b²

b)

25a¹⁰ - 20a⁵b + 4b²

c)

25a¹⁰ + 10a⁵b + 10b²

d)

25a¹⁰ - 7a⁵b + 4b²

8.

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

a)

addition

b)

division

c)

multiplication

d)

subtraction

9.

The square of a binomial always produces a ___________________ .

a)

trinomial

b)

perfect square

c)

perfect square trinomial

d)

quadratic trinomial

10.

$\left(4m-9n\right)\left(4m+9n\right)$

a)

$16m^2-81n^2$

b)

$8m^2-18n^2$

c)

$16m^2+81n^2$

d)

$16m^2-72mn-81n^2$

11.

$\left(3+2a-4b\right)^2$

a)

$9+4a^2+16b^2+12a-24b-8a$

b)

$9+4a^2+16b^2+6a-12b-8a$

c)

$9+4a^2+16b^2+12a-24b-16ab$

d)

$9+4a^2+16b^2$

12.

The product of the square of a binomial, consists of how many terms?

a)

6 terms

b)

3 terms

c)

9 terms

d)

4 terms

13.

$\left(3ab+11c^2\right)\left(3ab-11c^2\right)$

a)

$9a^2b^2-121c^4$

b)

$9a^2b^2+121c^4$

c)

$9a^2b^2+121c^2$

d)

$9a^2b^2+33abc^2-121c^4$

14.

$\left(m^2+10m\right)^2$

a)

$m^4+20m^3+100m^2$

b)

$m^4+10m^3+20m^2$

c)

$m^4+20m^2+100m^{ }$

d)

$m^4+20m^3+10m^{ }$

15.

The product of the sum and difference of binomials, consists of how many terms?

a)

6 terms

b)

3 terms

c)

2 terms

d)

4 terms

16.

$\left(a+b-c\right)\left(a+b-c\right)$

a)

$a^2+b^2+c^2+2ab-2ac-2bc$

b)

$a^2+b^2+c^2+2ab+2ac-2bc$

c)

$a^2+b^2+c^2-2ab-2ac-2bc$

d)

$a^2+b^2-c^2+2ab-2ac+2bc$

17.

$\left(2-5x\right)^3$

a)

$8-60x+150x^2-125x^3$

b)

$8-60x-150x^2+125x^3$

c)

$8-20x+50x^2-125x^3$

d)

$8+60x+150x^2+125x^3$

18.

$\left(2a^2-13b^2\right)\left(2a^2+13b^2\right)$

a)

$4a^4-169b^4$

b)

$4a^4+169b^4$

c)

$4a^4-26b^4$

d)

$4a^4+52a^2b^2+169b^4$

19.

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

a)

0

b)

1

c)

65

d)

178

20.

Which of the choices is a perfect square term?

a)

b⁵

b)

x²y⁹

c)

a¹⁰k¹²o¹⁸

d)

r⁷y⁶

Special products

Total questions: 20

Worksheet time: 9mins

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