Question

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

Answer 1

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