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Lesson 1: Special Products
1.
SPECIAL PRODUCTS
2.
Look at the
pictures below and identify patterns on each picture.
3.
97 X 103
= 25 X 25 = 99 X 99 X 99 =
4.
97X103 = (100-3)(100+3) =
1002 – 32 = 10000 – 9 = 9991 25X25 = (20 + 5)(20 + 5) = 202 + 2(20)(5) + 52 = 400 + 200 + 25 = 625
5.
99X99X99 = (100-1)3 =
1003 + 3(100)2(-1)2+(-1)3 = 10000000-30000+300-3 = 970 299
6.
7.
8.
Answer key
9.
10.
11.
GROUP 1
12.
GROUP 2
13.
GROUP 3
14.
GROUP 4
15.
16.
17.
18.
19.
20.
21.
Answer key
22.
23.
Observe the following
examples: (x-3)2 = x2-3x-3x+32 = x2-2(3x)+9 = x2-6x+9 (x+5)2 = x2+5x+5x+52 = x2+2(5x)+25 = x2+10x+25 (3x+4y)2= (3x)2+12xy+12xy+(4y)2 = 9x2 + 2(12xy) + 16y2 = 9x2 + 24xy + 16y2
24.
PRODUCT RULE: (am)(an) =
am+n RAISING A POWER TO A POWER: (am)n = amn
25.
26.
ANSWER KEY
27.
REMEMBER:
28.
29.
30.
31.
32.
33.
34.
35.
ANSWER KEY LET’S
PRACTICE2
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
ANSWERS ACTIVITY11
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
ALWAYS REMEMBER THAT
MATH IS EASY YOU WILL PASS YOU WILL GET PERFECT BELIEVE THIS AND ALWAYS PUT THIS IN YOUR MIND SO THAT THE UNIVERSE WILL CONIVE WITH YOU… GOD BLESS US ALL
70.
TOGETHER… LET’S READ
IT ALOUD MATH IS EASY
71.
REMEMBER THE 3
S OF A STUDENTS S – STUDY S – STUDY HARD S – STUDY HARDER
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