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    Simplify the following as a single fraction:

    x+ 1/( 1 - 1/x^3)

    Is this correct?

    x + 1 / 1 - x^-3

    x/1 - 1/x^-3

    I don't know where to go from here
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    (Original post by Custardcream000)
    Simplify the following as a single fraction:

    x+ 1/( 1 - 1/x^3)
    None of that is correct. We have:

    \displaystyle \frac{x+1}{1 - \frac{1}{x^3}} =  \frac{x+1}{\frac{x^3}{x^3} - \frac{1}{x^3}} =  \frac{x+1}{\frac{x^3 -1}{x^3}} = \cdots
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    (Original post by Zacken)
    None of that is correct. We have:

    \displaystyle \frac{x+1}{1 - \frac{1}{x^3}} =  \frac{x}{\frac{x^3}{x^3} - \frac{1}{x^3}} =  \frac{x}{\frac{x^3 -1}{x^3}} = \cdots
    what have you done with the +1 in the second bit
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    (Original post by Custardcream000)
    what have you done with the +1 in the second bit
    mistake fixed
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    or multiply top and bottom of the fraction by x3
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    (Original post by Zacken)
    mistake fixed
    so would this be correct?

    x+1 / (x^3-1/x^3)

    x+1 / -1
 
 
 
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