a\(\frac{2}{3}\)
a-\(\frac{1}{3}\)
\(a^{2}\) + 1
a
a\(\frac{1}{3}\)
Correct answer is E
\(\frac{(a^2 - \frac{1}{a})(a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 - \frac{1}{a}^2}\)
= \(\frac{(\frac{a^2 - 1}{a})(\frac{a^2 + 1}{a^{\frac{2}{3}}})}{a^{4} - \frac{1}{a^2}}\)
= \(\frac{a^4 - 1}{a^{\frac{5}{3}}}\) x \(\frac{a^2}{a^4 - 1}\)
= a\(\frac{1}{3}\)