Difference of Squares

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Show your work for each problem.

1.
Which expression is a difference of squares?
1. a)
2. b)
3. c)
4. d)
2.
Factor: . Write your answer in the form where is a number.
3.
Factor step by step.
4.
What is the factored form of ?
1. a)
2. b)
3. c)
4. d)
5.
Factor step by step.
6.
Factor:
7.
Which of the following can NOT be factored as a difference of squares?
1. a)
2. b)
3. c)
4. d)
8.
Factor step by step.
9.
Factor:
10.
Factor step by step.
11.
Use mental math: What is ?
1. a)2500
2. b)2401
3. c)2509
4. d)2491
12.
Factor completely:
13.
Factor completely:
14.
Factor completely. How many factors does it have?
1. a)Cannot be factored
2. b)3 factors
3. c)4 factors
4. d)2 factors
15.
Use mental math: Calculate
16.
Factor:
17.
Factor:
18.
A square garden has side length meters. A smaller square path inside has side length meters. Find the area of the garden excluding the path.