Presentation 2a algebra

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

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

23. Factorization 23

25. Euler Four-Square Identity Factorization 25

26. Proof of 1 = 2 Factorization 26

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

40. Geometry 40

Presentation 2a algebra

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Presentation 2a algebra