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Math Help - Summer Math Problem driving me crazy

  1. #1
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    Summer Math Problem driving me crazy

    This is a pre-calculus review to help me get ready for ap calc. I could not simplify the expression so I entered it into wolfram mathematica. I don't understand its second step though. If you could explain wolfram's steps or explain an easier method that would be great.

    Here is the expression entered on wolfram: http://www.wolframalpha.com/input/?i=simplify+(9-(x^-2))/(3%2B(x^-1))
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  2. #2
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    \frac{{9 - \displaystyle\frac{1}<br />
{{x^2 }}}}<br />
{{3 - \displaystyle\frac{1}<br />
{x}}} = \frac{{\left( {9 - \displaystyle\frac{1}<br />
{{x^2 }}} \right)x^2 }}<br />
{{\left( {3 - \displaystyle\frac{1}<br />
{x}} \right)x^2 }} = \frac{{9x^2  - 1}}<br />
{{3x^2  - x}} = \frac{{\left( {3x - 1} \right)(3x + 1)}}<br />
{{x(3x - 1)}} = \frac{{3x + 1}}<br />
{x}
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  3. #3
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    thank you. you are my hero.
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