Algebra 7 Point 5
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Algebra 7 Point 5

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Algebra 7 Point 5 Presentation Transcript

  • 1. 7.5 Two Special Cases of Factoring
    Objective:
    • To factor the difference of 2 squares
    • 2. To factor a perfect-square trinomial
    Frameworks: 10.P.5
  • 3. Difference of Two Squares
    Let a2 and b2 represent areas of two squares.
    The orange region is the difference of the two squares
    Look at the picture on p. 259
    b
    b
    a
    a
  • 4. Difference of Two Squares
    a2 – b2 = (a + b)(a – b)
  • 5. Factor a2 – 16
  • 6. Factor y2– 36
  • 7. Factor x2– 81
  • 8. Factor 144x2– 49y2
  • 9. Factor (x - 3)2– 25y2
  • 10. Write a formula for the difference of the 2 squares:
    Then evaluate for r = 6 and t = 4.3
    3r
    2t
  • 11. Factor 25x2 – 100y2
  • 12. Factor (a + 4)2 – 64b2
  • 13. Write a formula for the orange region:
    4x
    y
  • 14. Write a formula for the orange region:
    5a
    3c
  • 15. Perfect Square Trinomials
    a2 + 2ab + b2 = (a + b)2
    a2 - 2ab + b2 = (a - b)2
    To factor a perfect square trinomial, you must first recognize its form:
    square of the first term
    +/- twice the product of the two terms
    square of the second term
  • 16. Is 4x2 – 12x + 9 a perfect square trinomial?
  • 17. Is 9x2+ 42x + 49 a perfect square trinomial?
  • 18. Do p. 261 1-15