1. ALGEBRA I - SECTION 8-3 : MULTIPLYING BINOMIALS
6/30/2019
ALGEBRA I @
SECTION 8-3 : MULTIPLYING BINOMIALS

2. Shelby and Sarah have a sunflower garden
Shelby and Sarah have a sunflower garden. The measure of each side is x feet. They decide they want to expand their garden to plant roses, tulips and daffodils. To expand the garden they will add 2 feet to the length and 3 feet to the width. Find the area of the new garden.

3. Shelby and Sarah have a sunflower garden
Shelby and Sarah have a sunflower garden. The measure of each side is x feet. They decide they want to expand their garden to plant roses, tulips and daffodils. To expand the garden they will add 2 feet to the length and 3 feet to the width. Find the area of the new garden. x 3
sunflower
rose
daffodil
tulip x 2

4. To multiply a binomial by a binomial

5. To multiply a binomial by a binomial
(x + y) (a + b)

6. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a

7. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a xa

8. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa

9. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa + xb

10. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa + xb
Inner → y•a

11. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa + xb + ya
Inner → y•a

12. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa + xb + ya
Inner → y•a
Last → y•b

13. To multiply a binomial by a binomial
(x + y) (a + b)
First → x•a
Outer → x•b xa + xb + ya + yb
Inner → y•a
Last → y•b

14. F.O.I.L. To multiply a binomial by a binomial (x + y) (a + b)
First → x•a
Outer → x•b xa + xb + ya + yb
Inner → y•a
Last → y•b

15. F.O.I.L.
1) (y + 4)(y + 6)

16. F.O.I.L.
1) (y + 4)(y + 6) ) (2x - 3)(2x + 2)

17. F.O.I.L.
1) (y + 4)(y + 6) ) (2x - 3)(2x + 2)
3) (3a - b)(2a + 4b)

18. F.O.I.L. 1) (y + 4)(y + 6) 2) (2x - 3)(2x + 2)
3) (3a - b)(2a + 4b) 4) (n + 5)(n + 3)

19. F.O.I.L.
5) (2x + y)(3x – 2y)

20. F.O.I.L.
5) (2x + y)(3x – 2y)
6) (x² - 4)(2x + 3)

21. F.O.I.L.
5) (2x + y)(3x – 2y)
6) (x² - 4)(2x + 3)
7) (x² + 5)(3x² - 1)

22. F.O.I.L. 5) (2x + y)(3x – 2y) 6) (x² - 4)(2x + 3) 7) (x² + 5)(3x² - 1)
8) (8m + 2n)(6n + 5m)

23. F.O.I.L.
9) (4x - 3)(2x + 5)

24. F.O.I.L.
9) (4x - 3)(2x + 5) ) (9x² - 3)(9x + 3)

25. F.O.I.L.
9) (4x - 3)(2x + 5) ) (9x² - 3)(9x + 3)
11) (x + 5)(x - 5)

26. F.O.I.L. 9) (4x - 3)(2x + 5) 10) (9x² - 3)(9x + 3)
11) (x + 5)(x - 5) ) (2m + 2)(2m + 2)

27. 13) (4x + 3)(3x2 – 2x + 5) 14) (2x2 – 3x + 5)(x2 + 8x – 3)
Find each product.
13) (4x + 3)(3x2 – 2x + 5)
14) (2x2 – 3x + 5)(x2 + 8x – 3)

28. Find the area of the rectangle...

29. Find the area of the rectangle...
2x-4
x+2

30. Find the area of the rectangle...
x+4
2x-4
x+2
x²-8

31. Find the area of the shaded region
2x + 1
x + 2 8
x+7 6
x - 1

32. FUN WITH FOILING