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Group like terms factoring problem

  1. Oct 5, 2008 #1
    (x-y+2[tex]\sqrt{x}[/tex]-2[tex]\sqrt{y}[/tex])/([tex]\sqrt{x}[/tex]-[tex]\sqrt{y}[/tex])

    The first thing I did was group like terms
    (x+2[tex]\sqrt{x}[/tex]-y-2[tex]\sqrt{y}[/tex])/([tex]\sqrt{x}[/tex]-[tex]\sqrt{y}[/tex])

    Then from the liked terms I factored out a [tex]\sqrt{x}[/tex] & -[tex]\sqrt{y}[/tex]

    (([tex]\sqrt{x}[/tex])([tex]\sqrt{x}[/tex]+2)-([tex]\sqrt{y}[/tex])([tex]\sqrt{y}[/tex]+2))/([tex]\sqrt{x}[/tex]-[tex]\sqrt{y}[/tex])

    Here is where I get stuck. The next step should be, (([tex]\sqrt{x}[/tex]-[tex]\sqrt{y}[/tex])([tex]\sqrt{x}[/tex]+[tex]\sqrt{y}[/tex]+2)/([tex]\sqrt{x}[/tex]-[tex]\sqrt{y}[/tex])

    However I'm just unsure how to jump to that next step.
     
  2. jcsd
  3. Oct 5, 2008 #2

    Dick

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    Re: Factoring

    I think you want to use x-y=(sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)).
     
  4. Oct 5, 2008 #3
    Re: Factoring

    Thanks, that works out much nicer.
     
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