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Algebraic Fractions

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
Reply 1
Avatar for Zacken
Zacken
22
Original post by Custardcream000
Simplify the following as a single fraction:

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


None of that is correct. We have:

x+11−1x3=x+1x3x3−1x3=x+1x3−1x3=⋯\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
(edited 8 years ago)
Original post by Zacken
None of that is correct. We have:

x+11−1x3=xx3x3−1x3=xx3−1x3=⋯\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
Reply 3
Avatar for Zacken
Zacken
22
Original post by Custardcream000
what have you done with the +1 in the second bit


mistake fixed
Reply 4
Avatar for TeeEm
TeeEm
19
or multiply top and bottom of the fraction by x3
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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