Question

скоротити дріб (a^1/3-b^1/3)/(a^1/6-b^1/6)

Answer 1

$frac{a^{frac{1}{3}}-b^{frac{1}{3}}}{a^{frac{1}{6}} -b^{frac{1}{6}}}=frac{(a^{frac{1}{6}})^{2} -(b^{frac{1}{6}})^{2}}{a^{frac{1}{6}} -b^{frac{1}{6}}}=frac{(a^{frac{1}{6}}-b^{frac{1}{6}})(a^{frac{1}{6}}+b^{frac{1}{6}})}{a^{frac{1}{6}}-b^{frac{1}{6}}}=a^{frac{1}{6}}+b^{frac{1}{6}}$