1. There are three techniques for multiplying polynomials: the distributive property, FOIL, and the box method. 2. The distributive property involves distributing terms being multiplied over terms in parentheses. FOIL stands for First, Outer, Inner, Last and involves multiplying the first, outer, inner, and last terms of factors being multiplied. 3. The document provides examples of applying these techniques, such as using FOIL to expand (x+3)(x-3) as x2 - 3x + 3x - 9 = x2 - 9.

1. Special Products
Prepared by:
Mr. Nicandro C. Salamat

2. Review
(x+3)(x-3)= x²-3²=x²-9
(3x+5y)(3x-5y) =(3x)²-(5y)²
= 9x²-25y²

3. 2² 4
3² 9
5² 25
7² 49
8² 64 9² 81
11² 121

4. There are three techniques you can
use for multiplying polynomials.
1. Distributive Property
2. FOIL
3. Box Method

5. Distributive Property
x=
(x+3)(x-3)
(x-3)+3(x-3)
= x²-3x+3x-9
= x²- 9
/ /

6. FOIL
First Outer Inner Last
(x+3)(x-3)
= x²-3x+3x+9

7. 15X15 =(10+5)(10+5)
=(10)(10)+(10)(5)+(5)(10)+(5)(5)
= (10)²+2(10)(5)+(5)²
=100+100+25
= 225

8. 15X15= (20-5)(20-5)
=400-100-100+25
= 400-200+25
= 225

9. (f+l) =f²(f+l) +fl+fl +l²
=f² +2fl +l²
(f-l) (f-l)=f² -2fl +l²

10. (f+l) (f+l) = (f+l)²
(f-l) (f-l) = (f-l)²

11. Let’s Watch???

13. 1.) (x+3)² x² 6x 9
2.) (x-5)² x² -10x 25
3.) (3x+5)² 9x² 30x 25

14. Watch and learn…

15. 1.) (a+b)² a²+2ab+b²
2.) (c-d)² c²-2cd+d²
3.) (m+2)² m²+4mn+4
4.) (x-4)² x²-8x+16
5.) (2a+3b)² 4a²+12ab+9b²

16. Activity No.