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Math Help - Rational Expressions

  1. #1
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    Rational Expressions

    \frac {y^2}{y^2-9} + \frac {9-6y}{y^2-9}

    \frac {3x}{x^2-4} + \frac {5x}{x^2+x-2} - \frac {3}{x^2-4x+4}

    Complex Fraction: \frac {x+2}{x-2}- \frac {x-2}{x+2} over \frac {x-2}{x+2} + \frac {x+2}{x-2}

    Complex Fraction (-1)(-2) are negative powers: \frac {3a^-1}{4a^-2} \frac {+3b^-1}{-9b^-2}

    Complex Fraction: \frac {2}{a^2} - \frac {1}{ab}- \frac {1}{b^2}over\frac {1}{a^2} - \frac {3}{ab} + \frac {2}{a^2b^2}

    Sorry, I didn't know how to make a complex fraction
    Last edited by HSS8; March 2nd 2009 at 05:17 PM. Reason: made no sense
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  2. #2
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    Quote Originally Posted by HSS8 View Post
    \frac {y^2}{y^2-9} + \frac {9-6y}{y^2-9}

    \frac {3x}{x^2-4} + \frac {5x}{x^2+x-2} - \frac {3}{x^2-4x+4}

    Complex Fraction: \frac{\frac {x+2}{x-2}- \frac {x-2}{x+2}}{\frac {x-2}{x+2} + \frac {x+2}{x-2}}

    Complex Fraction (-1)(-2) are negative powers: \frac {3a^-1}{4a^-2} \frac {+3b^-1}{-9b^-2}

    Complex Fraction: \frac{\frac {2}{a^2} - \frac {1}{ab}- \frac {1}{b^2}}{\frac {1}{a^2} - \frac {3}{ab} + \frac {2}{a^2b^2}}

    Sorry, I didn't know how to make a complex fraction
    What's the actual question
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  3. #3
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    \frac {y^2}{y^2-9} + \frac {9-6y}{y^2-9} Answer: \frac {x^2+3x+5}{(x-3)(x+1)(x-2)}

    \frac {3x}{x^2-4} + \frac {5x}{x^2+x-2} - \frac {3}{x^2-4x+4} Answer: \frac {8x^3-32x^2-23x+6}{(x-2)(x-2)(x+2)(x-1)}

    Complex Fraction: \frac {x+2}{x-2}- \frac {x-2}{x+2} over \frac {x-2}{x+2} + \frac {x+2}{x-2} Answer: \frac {4x}{x^2+4}

    Complex Fraction (-1)(-2) are negative powers: \frac {3a^-1}{4a^-2} \frac {+3b^-1}{-9b^-2} Answer: \frac {3ab(a+b)}{(2b+a)(2b-a)}

    Complex Fraction: \frac {2}{a^2} - \frac {1}{ab}- \frac {1}{b^2}over\frac {1}{a^2} - \frac {3}{ab} + \frac {2}{a^2b^2} Answer: \frac {2b+a}{b-2a}

    My answer for the first two problems, didn't come out right, and I'm having trouble simplifying the complex fractions. First, what are the LCDs, and how do the problems simplify.
    Last edited by HSS8; March 2nd 2009 at 05:45 PM. Reason: Didn't state a question
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