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D.O.T.S.

D.O.T.S.

Assessment

Presentation

Mathematics

12th Grade

Practice Problem

Easy

Created by

Paul Sexton

Used 6+ times

FREE Resource

3 Slides • 17 Questions

1

Difference of Two Squares (D.O.T.S.)

- A difference of two squares (D.O.T.S.) occurs when you are multiplying two binomials that are the same but with different signs.

- For Example:

the same but different signs!

the same but different signs!

2

Multiple Select

Which of the following is a difference of two squares (D.O.T.S.)?

Select all that apply

1

(2x+3)(2x+3)\left(2x+3\right)\left(2x+3\right)

2

(2x9)(2x+9)\left(2x-9\right)\left(2x+9\right)

3

(3x2)(3x2)\left(3x-2\right)\left(3x-2\right)

4

(x+3)(x3)\left(x+3\right)\left(x-3\right)

5

(x2)(x+3)\left(x-2\right)\left(x+3\right)

3

Multiple Select

Which of the following is a difference of two squares (D.O.T.S.)?

Select all that apply

1

(3x3)(3x+3)\left(3x-3\right)\left(3x+3\right)

2

(x+8)(x8)\left(x+8\right)\left(x-8\right)

3

(5x2)(5x2)\left(5x-2\right)\left(5x-2\right)

4

(x+1)(x+1)\left(x+1\right)\left(x+1\right)

5

(x2)(x+2)\left(x-2\right)\left(x+2\right)

4

Dropdown

(x + 3)(x - 3) ​
a difference of two squares (D.O.T.S.).

5

Dropdown

(x - 3)(x + 3) ​
a difference of two squares (D.O.T.S.).

6

Dropdown

(x - 3)(x - 3) ​
a difference of two squares (D.O.T.S.).

7

Dropdown

(5x - 3)(5x - 3) ​
a difference of two squares (D.O.T.S.).

8

Dropdown

(5x - 3)(5x + 3) ​
a difference of two squares (D.O.T.S.).

9

Difference of Two Squares (D.O.T.S.)

- When multipying a difference of two squares, the middle terms will always cancel out.

- For Example:

the "-5x" and "+5x" cancelled each other out!

the "+14x" and "-14x" cancelled each other out!

10

Difference of Two Squares (D.O.T.S.)

- Therefore, when multiplying this type, we can use the shortcut below!

media

- Examples:

media

11

Multiple Choice

Multiply: (x+6)(x6)\left(x+6\right)\left(x-6\right)

1

x2+36x^2+36

2

x236x^2-36

3

2x262x^2-6

4

x26x^2-6

12

Multiple Choice

Multiply: (x1)(x+1)\left(x-1\right)\left(x+1\right)

1

x2+1x^2+1

2

x22x^2-2

3

2x212x^2-1

4

x21x^2-1

13

Multiple Choice

Multiply: (3x+1)(3x1)\left(3x+1\right)\left(3x-1\right)

1

9x219x^2-1

2

3x213x^2-1

3

3x2+13x^2+1

4

9x229x^2-2

14

Multiple Choice

Multiply: (2x+5)(2x5)\left(2x+5\right)\left(2x-5\right)

1

4x2+254x^2+25

2

4x254x^2-5

3

4x2254x^2-25

4

2x2252x^2-25

15

Match

Match the following:

(x+2)(x2)\left(x+2\right)\left(x-2\right)

(2x+1)(2x1)\left(2x+1\right)\left(2x-1\right)

(x+4)(x4)\left(x+4\right)\left(x-4\right)

(4x1)(4x+1)\left(4x-1\right)\left(4x+1\right)

(4x+2)(4x2)\left(4x+2\right)\left(4x-2\right)

x24x^2-4

4x214x^2-1

x216x^2-16

16x2116x^2-1

16x2416x^2-4

16

Math Response

Multiply: (x+5)(x5)\left(x+5\right)\left(x-5\right)

Type answer here
Deg°
Rad

17

Math Response

Multiply: (x7)(x+7)\left(x-7\right)\left(x+7\right)

Type answer here
Deg°
Rad

18

Math Response

Multiply: (3x+5)(3x5)\left(3x+5\right)\left(3x-5\right)

Type answer here
Deg°
Rad

19

Math Response

Multiply: (5x7)(5x+7)\left(5x-7\right)\left(5x+7\right)

Type answer here
Deg°
Rad

20

Math Response

Multiply: (7x1)(7x+1)\left(7x-1\right)\left(7x+1\right)

Type answer here
Deg°
Rad

Difference of Two Squares (D.O.T.S.)

- A difference of two squares (D.O.T.S.) occurs when you are multiplying two binomials that are the same but with different signs.

- For Example:

the same but different signs!

the same but different signs!

Show answer

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