Question

Express 1/(x^3+1) as a partial fraction

Answer 1

is (x^3 + 1) factorable?

Answer 2

Well I got it into the form 1/(x+1)(x^2-x+1) but I don't really see that using that form would help. BTW the answer is meant to be 1/3((1/x+1)-(x-2)/(x^2-x+1))

Answer 3

Did you continue it to the form
\[\frac{ A }{ x+1 } + \frac{ Bx+C }{ x^2 -x+1 }\] ?

Answer 4

No I didn't. I haven't seen that way of doing it before. I'll try it now

Answer 5

You try. :D And let's see if it will arrive at the same answer. :D

Answer 6

It does, thank you!!

Answer 7

No problem! :D