Quiz about Special products

Question 1

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

Accepted Answer

x2-8x+16

Answer

x2-8x-16

Answer

x2-8x-8

Answer

x2+8x+16

Question 2

What is the pattern for a cube of a binomial?

Accepted Answer

a³+3a²b+3ab²+b³

Answer

a³+3ab+3ba+b³

Answer

a³+3a²b+3ab+b³

Answer

a³+3a²b²+3ab+b³

Question 3

What is (4x²+5)(4x²-5)?

Accepted Answer

16x4 - 25

Answer

16x2 - 25

Answer

8x4 - 10

Answer

8x2 - 10

Question 4

Special products are known for its _________________ .

Accepted Answer

patterns

Answer

variables

Answer

exponents

Answer

products

Question 5

What is (3x - 3)³?

Accepted Answer

27x³ - 81x² + 81x - 27

Answer

27x³ - 81x + 81x² - 27

Answer

27x³ - 27x² + 81x - 27

Answer

27x³ - 27x² + 27x² - 27

Question 6

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

Accepted Answer

8x³+12x²+6x+1

Answer

4x³+3x²+3x+1

Answer

8x³+6x²+3x+1

Answer

8x³+12x²+4x+1

Question 7

(5a⁵ - 2b)²

Accepted Answer

25a¹⁰ - 20a⁵b + 4b²

Answer

10a¹⁰ - 10ab + 4b²

Answer

25a¹⁰ + 10a⁵b + 10b²

Answer

25a¹⁰ - 7a⁵b + 4b²

Question 8

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

Accepted Answer

subtraction

Answer

addition

Answer

division

Answer

multiplication

Question 9

The square of a binomial always produces a ___________________ .

Accepted Answer

perfect square trinomial

Answer

trinomial

Answer

perfect square

Answer

quadratic trinomial

Question 10

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

Accepted Answer

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

Answer

$$8m^2-18n^2$$

Answer

$$16m^2+81n^2$$

Answer

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

Question 11

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

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

Accepted Answer

3 terms

Answer

6 terms

Answer

9 terms

Answer

4 terms

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

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

Accepted Answer

2 terms

Answer

6 terms

Answer

3 terms

Answer

4 terms

Question 16

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

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

Accepted Answer

$$4a^4-169b^4$$

Answer

$$4a^4+169b^4$$

Answer

$$4a^4-26b^4$$

Answer

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

Question 19

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

Accepted Answer

1

Answer

0

Answer

65

Answer

178

Question 20

Which of the choices is a perfect square term?

Accepted Answer

a¹⁰k¹²o¹⁸

Answer

b5

Answer

x2y9

Answer

r7y6

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