Question

$frac{x^{1/2} - x^{5/6}}{x^{1/2} + x^{5/6}}$

Answer 1

$frac{x^{frac{1}{2}} - x^{frac{5}{6}}}{x^{frac{1}{2}} + x^{frac{5}{6}}}=frac{x^{frac{1}{2}}(1-x^{frac{1}{3}})}{x^{frac{1}{2}}(1+x^{frac{1}{3}})}=frac{1-x^{frac{1}{3}}}{1+x^{frac{1}{3}}}$