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Math Help - Rational Expressions

  1. #1
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    Rational Expressions

    Hi Im new to the forum. I need help with these questions.

    Cal State Fullerton Web

    can someone help me with one of the questions? I have the solutions but I cant figure out how to get to them.
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  2. #2
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    Hi, welcome to the forum. Pls note it is preferred you show some your attempts with your work so we know where exactly to help.

    Anyhow, here's some help with the first one.

    \displaystyle \frac{x-\frac{1}{x}}{1-\frac{1}{x}}

    \displaystyle \frac{\frac{x^2-1}{x}}{\frac{x-1}{x}}

    \displaystyle \frac{x^2-1}{x}\times \frac{x}{x-1}

    \displaystyle \frac{x^2-1}{x-1}

    \displaystyle \frac{(x-1)(x+1)}{x-1}

    \displaystyle x+1

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  3. #3
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    no i cant figure out how u got from step to step except for the last two.
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  4. #4
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    Quote Originally Posted by physicswannabe123 View Post
    no i cant figure out how u got from step to step except for the last two.
    \displaystyle \frac{x - \frac{1}{x}}{1 - \frac{1}{x}}

    multiply numerator and denominator by x to clear the inside fractions ...

    \displaystyle \frac{x^2 - 1}{x - 1}

    factor the numerator and simplify ... you're done.
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  5. #5
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    cool what about number 2?
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  6. #6
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    Quote Originally Posted by physicswannabe123 View Post
    cool what about number 2?
    what did you learn from #1?
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