Question

Simplify:

(x^-3-x)/(x^-2-1)

Answer 1

\[(x^-3 -x)/ (x^-2-1) = \frac{ 1/ x^3 - x }{ 1/x^2 -1 }\]

Answer 2

I would first multiply the top and bottom by x^3

Answer 3

This yields (1-x^4)/ (1-x^3)

Answer 4

Then factor each piece and cancel common factors.

Answer 5

Thank you!

Answer 6

*oops the bottom would be x-x^3

Answer 7

just to make sure... the answer would be 1+x^2/x

Answer 8

working it

Answer 9

yup!

Answer 10

thanks