Quiz about Products Binomials

Question 1

What is the rule for multiplying conjugate binomials?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

What is (4x²+5)(4x²-5)?

Accepted Answer

16x4 - 25

Answer

16x2 - 25

Answer

8x4 - 10

Answer

8x2 - 10

Question 3

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 4

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 5

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 6

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 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

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 11

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 12

Expand and simplify: (4x - 1)(5x + 2)

Accepted Answer

20x² + 3x - 2

Answer

20x² - 3x - 2

Answer

20x² + 3x + 2

Answer

20x + 3x - 2

Question 13

Expand and simplify: 2(x + 1)(3x - 7)

Accepted Answer

6x² - 8x - 14

Answer

3x²- 4x - 7

Answer

6x² + 8x - 14

Answer

6x² + 8x + 14

Question 14

Expand and simplify (2x - 1)(3x² + 4x - 5)

Accepted Answer

6x³ + 5x² - 14x + 5

Answer

6x² + 5x² + 14x + 5

Answer

11x² - 14x + 5

Answer

6x³ +5x² - 19x

Question 15

Expand and simplify (2x + y)(3x² + 2xy + 5y²)

Accepted Answer

6x³ + 7x²y + 12xy² + 5y³

Answer

6x² + 7xy + 12xy + 5y

Answer

6x³ + 19x⁴y⁴ + 5y³

Answer

6x³ + 19x²y² + 5y³

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