1 / 39

Mastering the Multiplication of Algebraic Expressions with Exponents and Techniques

Learn the essential techniques for multiplying algebraic expressions, including how to properly manage exponents when multiplying like variables. This guide covers key methods such as the FOIL method, the distributive property, and the array method for multiplying binomials. Explore shortcuts like the binomial square and the sum and difference of two terms. By following organized steps and best practices, such as keeping variables in alphabetic order, you'll be better equipped to simplify and combine like terms.

waite
Download Presentation

Mastering the Multiplication of Algebraic Expressions with Exponents and Techniques

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!! EXAMPLE # 1 :

  2. Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!! EXAMPLE # 1 : Multiply numbers/fractions and like variables. Put them in groups to separate them

  3. Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!! EXAMPLE # 1 : Add exponents when multiplying like variables…

  4. Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!! EXAMPLE # 1 :

  5. Multiplying Algebraic Expressions EXAMPLE # 2 : Distributive property

  6. Multiplying Algebraic Expressions EXAMPLE # 2 : Distributive property

  7. Multiplying Algebraic Expressions EXAMPLE # 2 : Add exponents

  8. Multiplying Algebraic Expressions EXAMPLE # 2 :

  9. Multiplying Algebraic Expressions EXAMPLE # 3 : There are two ways to multiply these : 1. FOIL method 2. An Array

  10. Multiplying Algebraic Expressions EXAMPLE # 3 : FOIL Method F - First

  11. Multiplying Algebraic Expressions EXAMPLE # 3 : FOIL Method F - First O - Outside

  12. Multiplying Algebraic Expressions EXAMPLE # 3 : FOIL Method F - First O - Outside I - Inside

  13. Multiplying Algebraic Expressions EXAMPLE # 3 : FOIL Method F - First O - Outside I - Inside L - Last

  14. Multiplying Algebraic Expressions EXAMPLE # 3 : FOIL Method Perform the multiplications, and then combine like terms

  15. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across

  16. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  17. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  18. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  19. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  20. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  21. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  22. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells

  23. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells Now combine like terms of the cells you just filled in…

  24. Multiplying Algebraic Expressions EXAMPLE # 3 : ARRAY Method - create a table - one expression goes down - one expression goes across - multiply cells Now combine like terms of the cells you just filled in…

  25. Multiplying Algebraic Expressions EXAMPLE # 4 : I think theARRAY Method is better suited when multiplying expressions when more than two appear in one of the parentheses.

  26. Multiplying Algebraic Expressions EXAMPLE # 4 :

  27. Multiplying Algebraic Expressions EXAMPLE # 4 :

  28. Multiplying Algebraic Expressions EXAMPLE # 4 : Keep variables in alphabetic order, it will be easier to see “like terms” later…

  29. Multiplying Algebraic Expressions EXAMPLE # 4 : Keep variables in alphabetic order, it will be easier to see “like terms” later…

  30. Multiplying Algebraic Expressions EXAMPLE # 4 : Keep variables in alphabetic order, it will be easier to see “like terms” later…

  31. Multiplying Algebraic Expressions EXAMPLE # 4 : Keep variables in alphabetic order, it will be easier to see “like terms” later…

  32. Multiplying Algebraic Expressions EXAMPLE # 4 : Keep variables in alphabetic order, it will be easier to see “like terms” later…

  33. Multiplying Algebraic Expressions EXAMPLE # 4 : Combine “like terms”…

  34. Multiplying Algebraic Expressions There are some shortcuts for multiplying binomials. BINOMIAL SQUARED : - square the first and last terms - multiply the two terms and then double the result

  35. Multiplying Algebraic Expressions There are some shortcuts for multiplying binomials. BINOMIAL SQUARED : - square the first and last terms - multiply the two terms and then double the result EXAMPLE # 5 :

  36. Multiplying Algebraic Expressions There are some shortcuts for multiplying binomials. BINOMIAL SQUARED : - square the first and last terms - multiply the two terms and then double the result EXAMPLE # 6 :

  37. Multiplying Algebraic Expressions There are some shortcuts for multiplying binomials. Sum and Difference of two terms : - square the first and last terms - place a negative sign between them. The result of the outside and inside multiplication always = 0 EXAMPLE # 7 :

  38. Multiplying Algebraic Expressions There are some shortcuts for multiplying binomials. Sum and Difference of two terms : - square the first and last terms - place a negative sign between them. The result of the outside and inside multiplication always = 0 EXAMPLE # 8 :

  39. Multiplying Algebraic Expressions Sometimes you will have imbedded brackets in a multiplication problem. Change signs and combine like terms first and you will save some unnecessary steps EXAMPLE # 9: As you can see, I dropped the parens because there was nothing outside them that affected them, I then combined any like terms, and used FOIL to multiply the two resulting binomials…

More Related