Lesson 1 in Mathematics 8 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

8. Answer key

11. GROUP 1

12. GROUP 2

13. GROUP 3

14. GROUP 4

21. Answer key

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

26. ANSWER KEY

27. REMEMBER:

35. ANSWER KEY LET’S PRACTICE2

59. ANSWERS ACTIVITY11

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