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D.O.T.S.

D.O.T.S.

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

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

2

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

3

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

4

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

5

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

3

Multiple Select

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

Select all that apply

1

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

2

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

3

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

4

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

5

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

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!

- Examples:

11

Multiple Choice

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

1

$x^2+36$

2

$x^2-36$

3

$2x^2-6$

4

$x^2-6$

12

Multiple Choice

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

1

$x^2+1$

2

$x^2-2$

3

$2x^2-1$

4

$x^2-1$

13

Multiple Choice

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

1

$9x^2-1$

2

$3x^2-1$

3

$3x^2+1$

4

$9x^2-2$

14

Multiple Choice

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

1

$4x^2+25$

2

$4x^2-5$

3

$4x^2-25$

4

$2x^2-25$

15

Match

Match the following:

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

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

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

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

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

$x^2-4$

$4x^2-1$

$x^2-16$

$16x^2-1$

$16x^2-4$

16

Math Response

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

Type answer here

Correct Answer: x^2-25

Deg^°

Rad

17

Math Response

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

Type answer here

Correct Answer: x^2-49

Deg^°

Rad

18

Math Response

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

Type answer here

Correct Answer: 9x^2-25

Deg^°

Rad

19

Math Response

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

Type answer here

Correct Answer: 25x^2-49

Deg^°

Rad

20

Math Response

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

Type answer here

Correct Answer: 49x^2-1

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!

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