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Int Math 2 Section 9-5 1011
1.
SECTION 9-5 Multiplying Binomials
2.
ESSENTIAL QUESTION How do
you multiply binomials? Where you’ll see this: Finance, geography, recreation, photography
3.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3)
4.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3)
5.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x
6.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x
7.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x
8.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x
9.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x +12x
10.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x +12x
11.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x +12x −8
12.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) 2 6x −4x +12x −8 2 6x + 8x − 8
13.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 6x + 8x − 8
14.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 6x + 8x − 8
15.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x 2 6x + 8x − 8
16.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x 2 6x + 8x − 8
17.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x 2 6x + 8x − 8
18.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x 2 6x + 8x − 8
19.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x +6x 2 6x + 8x − 8
20.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x +6x 2 6x + 8x − 8
21.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x +6x +9 2 6x + 8x − 8
22.
EXAMPLE 1
Simplify. 2 a. (2x + 4)(3x − 2) b. (2x + 3) (2x + 3)(2x + 3) 2 6x −4x +12x −8 2 4x +6x +6x +9 2 6x + 8x − 8 2 4x +12x + 9
23.
EXPLORE Multiply by hand:
32 X 45 32 x 45
24.
EXPLORE Multiply by hand:
32 X 45 32 x 45 0
25.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 0
26.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0
27.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0 0
28.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0 80
29.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0 128 0
30.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0 128 0
31.
EXPLORE Multiply by hand:
32 X 45 1 32 x 45 16 0 128 0 1440
32.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3)
33.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2)
34.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12)
35.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12)
36.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) −24
37.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24
38.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 −2w
39.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2 w −2w
40.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2 w −2w
41.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (w +12) 12w −24 2 w −2w 2 w +10w − 24
42.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) 12w −24 2 w −2w 2 w +10w − 24
43.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 2 w −2w 2 w +10w − 24
44.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 2 w −2w 2 w +10w − 24
45.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −3 2 w −2w 2 w +10w − 24
46.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 w −2w 2 w +10w − 24
47.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 w −2w +a 2 w +10w − 24
48.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2 w +10w − 24
49.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2 w +10w − 24
50.
EXAMPLE 2
Simplify. a. (w − 2)(w +12) b. (3a +1)(a − 3) (w − 2) (3a +1) (w +12) (a − 3) 12w −24 −9a −3 2 2 w −2w 3a +a 2 2 w +10w − 24 3a − 8a − 3
51.
PROBLEM SET
52.
PROBLEM SET
p. 398 #1-48, multiples of 3 “An opinion should be the result of a thought, not a substitute for it.” Jeff Mallett
Notes de l'éditeur
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