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Math Help - simplifying fractions by common denomonators

  1. #1
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    simplifying fractions by common denomonators

    Hello,

    I was wondering if there is any way to simplify

     \frac{1}{(x^3 + 2)^7} -\frac{(x^3 + 2)^7}{(x^8 + 12)^6}

    Thanks!
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  2. #2
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    Re: simplifying fractions by common denomonators

    You could always start by getting a common denominator...
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  3. #3
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    Re: simplifying fractions by common denomonators

    I can't figure out how to get lowest common denominator.
    I'm confused because of the powers.
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  4. #4
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    Re: simplifying fractions by common denomonators

    Quote Originally Posted by canger View Post
    I can't figure out how to get lowest common denominator.
    I'm confused because of the powers.
    The LCD is (x^3 + 2)^7 (x^8 + 12)^6.
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  5. #5
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    Re: simplifying fractions by common denomonators

    So what about the LCD for  {-\frac{(x^2 + 1)^{\frac{1}{2}}}{(x^2 +4)} + {\frac{1}{(x^2 + 1)^{\frac{1}{2}}}}}
    Can you do anything better with that one?
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  6. #6
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    Re: simplifying fractions by common denomonators

    Quote Originally Posted by canger View Post
    So what about the LCD for  {-\frac{(x^2 + 1)^{\frac{1}{2}}}{(x^2 +4)} + {\frac{1}{(x^2 + 1)^{\frac{1}{2}}}}}
    Can you do anything better with that one?
    Well, what do you think a common denominator is? Then I'll tell you if you can do 'better' ....
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  7. #7
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    Re: simplifying fractions by common denomonators

    Do I have to work out the square root of  x^2 + 1 ? Because that would bring complex numbers into it, wouldn't it? And we aren't covering those in my course.
    Otherwise, how can I multiply these terms when they aren't the same? It's just the  x^2 that's the same...?
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  8. #8
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    Re: simplifying fractions by common denomonators

    Quote Originally Posted by canger View Post
    Do I have to work out the square root of  x^2 + 1 ? Because that would bring complex numbers into it, wouldn't it? And we aren't covering those in my course.
    Otherwise, how can I multiply these terms when they aren't the same? It's just the  x^2 that's the same...?
    Look at what was done in post #4.
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