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Math Help - Need help with algebraic fraction problem.

  1. #1
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    Need help with algebraic fraction problem.

    I was wondering if you could help me with a algebraic fraction problem. I do online school, and I'm having difficulty understanding my teachers explanation. Basically he gives partial answers and I need it broken down and explained to me. This is one of the problems...
    a^4/ 2a^2-4a^4 times 8a^3+1/ 2a+4a^2

    Thank you very much for your time and consideration!!
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  2. #2
    MHF Contributor alexmahone's Avatar
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    \frac{a^4}{2a^2-4a^4}*\frac{8a^3+1}{2a+4a^2}

    = \frac{a^4}{2a^2(1-2a^2)}*\frac{(1+2a)(1-2a+4a^2)}{2a(1+2a)}

    = \frac{a(1-2a+4a^2)}{4(1-2a^2)}
    Last edited by alexmahone; July 9th 2009 at 10:40 AM.
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  3. #3
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    This problem was one of a bunch that you asked about two weeks ago in this thread: http://www.mathhelpforum.com/math-he...ions-help.html. I remember solving this for you back then.


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  4. #4
    Newbie beardedoneder's Avatar
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    Review the Fundamentals

    Quote Originally Posted by spidermonkey View Post
    I was wondering if you could help me with a algebraic fraction problem. I do online school, and I'm having difficulty understanding my teachers explanation. Basically he gives partial answers and I need it broken down and explained to me. This is one of the problems...
    a^4/ 2a^2-4a^4 times 8a^3+1/ 2a+4a^2

    Thank you very much for your time and consideration!!
    The type of problems you repeatedly post here indicate that you need to do a lot of in depth review on the fundamentals of factoring and simplifying. The author linked to below is a good teacher. She does an excellent job of "breaking it down and explaining it to you":
    Factoring Numbers
    Least Common Multiple (LCM) or Greatest Common Factor (GCF)
    Simplifying with Parentheses
    Polynomial Multiplication
    Simple Polynomial Factoring
    Simplifying Expressions with Exponents
    Polynomial Division
    Factoring Quadratics
    Special Factoring (Differences of squares, Sums and differences of cubes)

    However, it will require effort on your part to review the material and work the examples. You may find it useful to try and work her example before looking at the solution. Then, compare your solution to her's to see how well you did.
    Last edited by beardedoneder; July 11th 2009 at 07:49 AM. Reason: Add a few links and put in pedagogical order. Additional comments.
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  5. #5
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    Purplemath

    Nice Resource.
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