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Did I get this right? Simplifying a fraction

  1. Dec 28, 2015 #1
    1. The problem statement, all variables and given/known data
    Simplify: (a2 + 2ab + b2)/(a2 - b2) times (a2 - 2ab + b2)/(a2 - b2)

    2. Relevant equations
    (a2 + 2ab + b2)/(a2 - b2) times (a2 - 2ab + b2)/(a2 - b2)

    3. The attempt at a solution
    Did I simplify this correctly?? (a+b)(a+b)/((a-b)(a+b)) times (a-b)(a-b)/((a-b)(a+b)) = ((a+b)/(a+b)) times ((a-b)/(a-b))
    = (a+b)(a-b)/((a+b)(a-b)) = 1 times 1 = 1 Answer
     
    Last edited: Dec 28, 2015
  2. jcsd
  3. Dec 28, 2015 #2

    SammyS

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    That's the correct final result. It's hard to say if your steps are correct. You skipped some steps and regrouped things in some rather curious ways.
     
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