Just a quick algebra question, if I had

(e^x)/(x^3+x^-3) could I rewrite it as :

(e^x)+(x^3)/(x^3) ?? (flipped the negative exponent from the bottom and made it positive on top)

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

multiply top and bottom by x^3

x^3 e^x / (x^6 + 1)