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    Hi
    Im doing a c4 paper (link: http://www.mei.org.uk/files/papers/c408ju_op58.pdf)
    This is kind of strange because it is supposedly the easiest question, yet i cant figure out how the mark scheme has simplified the fraction??

    it's : " express x/(x^2-4) + 2/x+2 as a single fraction"
    I have simplified the denominator of the first fraction by factorising it. I just cant figure the next 2 steps. The mark scheme isnt set out clearly

    Help??

    Thanks
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    Well what did you get when you factorised the denominator of the first term?

    To express it as a single fraction, it must have a common denominator with the second term.

    So what could you multiply the numerator and denominator of the second term by to give it the same denominator as the first term?
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     \displaystyle \frac{x}{x^2-4} \equiv \frac{x}{(x+2)(x-2)} .
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    (Original post by starwarsjedi123)
    Hi
    Im doing a c4 paper (link: http://www.mei.org.uk/files/papers/c408ju_op58.pdf)
    This is kind of strange because it is supposedly the easiest question, yet i cant figure out how the mark scheme has simplified the fraction??

    it's : " express x/(x^2-4) + 2/x+2 as a single fraction"
    I have simplified the denominator of the first fraction by factorising it. I just cant figure the next 2 steps. The mark scheme isnt set out clearly

    Help??

    Thanks
    Remember how to add fractions? \frac{1}{2} + \frac{1}{4} = \frac{1\times 2}{2 \times 2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}.

    Here it's:

    \displaystyle \frac{x}{x^2 -4 } + \frac{2}{x+2} = \frac{x}{(x-2)(x+2)} + \frac{2}{x+2} = \frac{x}{(x-2)(x+2)} + \frac{2 \times (x-2)}{(x+2)(x-2)} = \cdots
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    thanks guys + zacken

    *close thread*
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    (Original post by starwarsjedi123)
    thanks guys + zacken

    *close thread*
    Wait, why am I not a guy? :laugh:
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    Very Important Poster
    (Original post by starwarsjedi123)
    thanks guys + zacken

    *close thread*
    If the thread is closed, no one will be able to bump it in a few months time. :cry2:
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    (Original post by Zacken)
    Wait, why am I not a guy? :laugh:
    rekt :rofl:
 
 
 
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