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Name:__________________
9.7 Difference of Two Squares (D.O.T.S)
How do we factor this? What looks different?
x2
- 9
Square each term:
1) 4 2) 3y 3) 4x2
4) 8w4
Take the square root of the following terms:
5) 36x2
6) 9 7) 49w
4 8) 16k
2n
2
Practice: Multiply the following:
9) (x-2)(x+2) 10) (2a+3)(2a-3) 11) (1-2x2)(1+2x
2)
What patterns do you notice? Be specific!
Try it! Let’s go the other direction and factor:
12) x2 – 4 13) 9 – b
2 14) w
2 - 1
Name:__________________
Practice factoring (don’t forget to pull out a GCF if possible):
15) 4x2 – 25 16) 36 – c
2 17) 1 – x
4
18) 5h2 – 45 19) w
4 – 9w
2 20) 49k
2 -81
Take it a step further, solve:
21) t2 – 16 = 0 22) 25 = 9q
2
23) 49y4 – 4y
2 = 0 24) 9x
2 – 12x +4 = 0
Difference of Two Squares (D.O.T.S) To use D.O.T.S. we must have:
1. 2.
General Form: a2 – b2 = ___________
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