1. 8-4 Special Products of Polynomials
Goal:
Use special product patterns for the product of a sum and a difference and for the square of a binomial.
Eligible Content: A

2. Try These Problems (x + 6) (x – 6) x2 – 6x + 6x – 36 x2 – 36

3. Special Product Patterns
Sum and Difference Pattern
(a + b)(a – b)
Square of a Binomial Pattern
(a + b)2
(a – b)2
a2 – b2 =
a2 + 2ab + b2 = =
a2 – 2ab + b2

4. Three ways to do these problems
Remember the pattern and use it!
Use FOIL
Use the Box Method

5. Examples of Sum and Difference
(x + 2)(x – 2)
(x + 8)(x – 8)
(2y – 3)(2y + 3)
x2 – 4
x2 – 64
4y2 – 9

6. Examples of Square of a Binomial
(3d + 1)2
(5x – 2)2
(2y – 1)2
x2 +6x + 9
9d2 + 6d+ 1
25x2 – 20x + 4
4y2 – 4y + 1

7. Find (3x + 2)2.
A. 9x2 + 4
B. 9x2 + 6x + 4
C. 9x + 4
D. 9x2 + 12x + 4

8. Find (2m – 3)2.
A. 4m2 + 9
B. 4m2 – 9
C. 4m2 – 6m + 9
D. 4m2 – 12m + 9

9. Find (3y + 2)(3y – 2).
A. 9y2 + 4
B. 6y2 – 4
C. 6y2 + 4
D. 9y2 – 4

10. Practice
Page 488 #1-6

11. Homework
Page 489 #12-36 even