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C. Simplifying Polynomials

   a. Introduction
      1. Introduction to Simplification

   b. Multiplying Terms
      2. Multiplying Terms
      3. Multiplying Terms (2)
      4. Simplifying Terms
      5. Multiplying Powers of Variables
      6. Multiplying Powers of Variables (2)
      7. Multiplying Terms (3)

   c. Meaning of Equality
      8. Review: Substitution
      9. The Meaning of the Equal Sign

   d. Simplifying and Combining Terms
      10. Combining Similar Terms
      11. Combining Similar Terms (2)
      12. Combining Similar Terms (3)
      13. Arranging Variables Alphabetically
      14. Combining Similar Terms (4)
      15. Omitting the Coefficient "1"
      16. Terms without Coefficients
      17. Omitting Zero Terms
      18. Combining Similar Terms (5)
      19. Combining Similar Terms (6)
      20. Combining Similar Terms (7)
      21. Simplifying and Combining Terms
      22. Simplifying and Combining Terms (2)
      23. Simplifying and Combining Terms (3)

   e. Negating and Subtracting
      24. Negating Polynomials
      25. Subtracting Polynomials

   f. Powers of Products
      26. A Power of a Product
      27. A Power of a Product (2)
      28. A Power of a Product (3)

   g. Powers of Powers
      29. A Power of a Power
      30. A Power of a Power (2)
      31. Operations Involving Powers

   h. Distributive Law
      32. Area of a Rectangle
      33. Areas of Rectangles
      34. Areas of Rectangles (2)
      35. Distributive Law
      36. Distributive Law (2)

   i. Removing Parentheses
      37. Removing Parentheses
      38. Removing Parentheses (2)
      39. Removing Parentheses (3)
      40. Removing Parentheses (4)
      41. Removing Parentheses (5)
      42. Removing Parentheses (6)
      43. Removing Parentheses (7)
      44. Removing Parentheses (8)
      45. Removing Parentheses (9)
      46. Removing Parentheses (10)

   j. Products of Binomials
      47. Areas of Rectangles (3)
      48. Products of Parentheses
      49. Products of Binomials
      50. Products of Binomials (2)
      51. Products of Binomials (3)
      52. Products of Binomials (4)
      53. Products of Binomials (5)
      54. Products of Binomials (6)
      55. Products of Binomials (7)
      56. Products of Binomials (8)
      57. Multiplying a+b by a-b
      58. More On Multiplying a+b by a-b

   k. Products of Polynomials
      59. Products of Polynomials
      60. Products of Polynomials (2)
      61. Squares of Polynomials
      62. Squares of Polynomials (2)
      63. Operations on Polynomials
      64. Operations on Polynomials (2)



Examples

C. Simplifying Polynomials

   a. Introduction
      1. Introduction to Simplification



   b. Multiplying Terms
      2. Multiplying Terms


      3. Multiplying Terms (2)


      4. Simplifying Terms


      5. Multiplying Powers of Variables


      6. Multiplying Powers of Variables (2)


      7. Multiplying Terms (3)



   c. Meaning of Equality
      8. Review: Substitution


      9. The Meaning of the Equal Sign



   d. Simplifying and Combining Terms
      10. Combining Similar Terms


      11. Combining Similar Terms (2)


      12. Combining Similar Terms (3)


      13. Arranging Variables Alphabetically


      14. Combining Similar Terms (4)


      15. Omitting the Coefficient "1"


      16. Terms without Coefficients


      17. Omitting Zero Terms


      18. Combining Similar Terms (5)


      19. Combining Similar Terms (6)


      20. Combining Similar Terms (7)


      21. Simplifying and Combining Terms


      22. Simplifying and Combining Terms (2)


      23. Simplifying and Combining Terms (3)



   e. Negating and Subtracting
      24. Negating Polynomials


      25. Subtracting Polynomials



   f. Powers of Products
      26. A Power of a Product


      27. A Power of a Product (2)


      28. A Power of a Product (3)



   g. Powers of Powers
      29. A Power of a Power


      30. A Power of a Power (2)


      31. Operations Involving Powers



   h. Distributive Law
      32. Area of a Rectangle


      33. Areas of Rectangles


      34. Areas of Rectangles (2)


      35. Distributive Law


      36. Distributive Law (2)



   i. Removing Parentheses
      37. Removing Parentheses


      38. Removing Parentheses (2)


      39. Removing Parentheses (3)


      40. Removing Parentheses (4)


      41. Removing Parentheses (5)


      42. Removing Parentheses (6)


      43. Removing Parentheses (7)


      44. Removing Parentheses (8)


      45. Removing Parentheses (9)


      46. Removing Parentheses (10)



   j. Products of Binomials
      47. Areas of Rectangles (3)


      48. Products of Parentheses


      49. Products of Binomials


      50. Products of Binomials (2)


      51. Products of Binomials (3)


      52. Products of Binomials (4)


      53. Products of Binomials (5)


      54. Products of Binomials (6)


      55. Products of Binomials (7)


      56. Products of Binomials (8)


      57. Multiplying a+b by a-b


      58. More On Multiplying a+b by a-b



   k. Products of Polynomials
      59. Products of Polynomials


      60. Products of Polynomials (2)


      61. Squares of Polynomials


      62. Squares of Polynomials (2)


      63. Operations on Polynomials


      64. Operations on Polynomials (2)