Question
x^3/(5x^3-1)
resolve into a partial fraction
resolve into a partial fraction
Answers
Steve
wolframalpha.com can verify your answer.
http://www.wolframalpha.com/input/?i=partial+fractions+x%5E3%2F(5x%5E3-1)
This one is kinda nasty, since 5x^3-1 does factor, but not with integer coefficients. It's a difference of two cubes, so it factors as
(∛5 x - 1)(∛25 x^2 + ∛5 x + 1))
http://www.wolframalpha.com/input/?i=partial+fractions+x%5E3%2F(5x%5E3-1)
This one is kinda nasty, since 5x^3-1 does factor, but not with integer coefficients. It's a difference of two cubes, so it factors as
(∛5 x - 1)(∛25 x^2 + ∛5 x + 1))