School Level Mathematics...

1. Algebra
Factorization
Dr. Ravi Prasad K J
1Factorization

2. References
2Factorization

3. Special Factorizations
Squares of Binomials
3Factorization

4. 4Factorization

5. 5Factorization

6. Pascal Triangle
6Factorization

7. Example
• Find the expansion of
(x+y)10
Factorization 7

8. Difference of Squares
8Factorization

9. Problem
9Factorization

10. Can you solve this?
10Factorization

11. Problem
11Factorization

12. Sum and Difference of Cubes
12Factorization

13. 13Factorization

14. 14Factorization

15. Example
• Factorize
xn – yn
xn + yn
Factorization 15

16. Rationalizing Denominators
16Factorization

17. 17Factorization

18. Solution
18Factorization

19. Next One…
19Factorization

20. Simon's Favorite Factoring Trick
20Factorization

21. Note
21Factorization

22. Problem
22Factorization

23. Factorization 23

24. Factorization 24

25. Euler Four-Square Identity
Factorization 25

26. Proof of 1 = 2
Factorization 26

27. Proof of 1 = 2
Factorization 27

28. Proof of 1 = 2
Factorization 28

29. Summary
29Factorization

30. Special Manipulations
Factorization 30

31. Consider the following:
Factorization 31

32. Self-similarity
Factorization 32

33. Solution
Factorization 33

34. Evaluate
Factorization 34

35. Note
Factorization 35

36. Progressions
nth term Sum to n terms Mean Remarks
Arithmetic
Progression
a+(n-1)d (n/2) (a+l) (a+b)/2
Geometric
Progression
ar(n-1) a(1-r(n) )/(1-r) √(a+b) S = a/(1-r)
Harmonic
Progression
1/(a+(n-1)d) -- 2ab/(a+b)
Factorization 36

37. Problem
Geometry 37

38. Problem
Geometry 38

39. Problem
Geometry 39

40. Geometry 40

41. Factorization 41