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Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!!

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

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Multiplying Algebraic Expressions Remember, when multiplying like variables ADD exponents !!!

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  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…

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