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Factoring polynomial through grouping

  1. Feb 9, 2012 #1
    1. The problem statement, all variables and given/known data
    2n - 6m + 5n^2 - 15mn


    2. Relevant equations
    No particular equation since this is factoring


    3. The attempt at a solution
    Keep in mind that I struggle when it comes to grouping as I'm not sure where I'm supposed to start but....

    2n - 6m + 5n^2 - 15mn
    Group first 2 terms together
    2n - 6m
    GCF is 2. Factor into...
    2(n-3n)
    Group last 2 terms together
    5n^2 - 15mn
    GCF is 5n. Factor into
    5n(n - 3m) (For this part I'm not too sure what happens to the exponent. I assume me dividing 5n^2 by 5n turned it into a 1)
    Now I have
    2(n+3)5n(n - 3m)

    From this point on I have no idea what to do.
    Help would be much appreciated.
     
  2. jcsd
  3. Feb 9, 2012 #2
    You've made a number of very sloppy errors. Do it again slowly and be sure not to change letters and operation signs.
     
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