5. Сократить дробь: 1 1) m-3m³ m³-3 2) x³- 2xy + y 11 xy-xy

1) \(\frac{m - 3\sqrt[3]{m}}{m^{\frac{2}{3}} - 3} = \frac{\sqrt[3]{m^3} - 3\sqrt[3]{m}}{m^{\frac{2}{3}} - 3} = \frac{\sqrt[3]{m}(\sqrt[3]{m^2} - 3)}{m^{\frac{2}{3}} - 3} = \frac{\sqrt[3]{m}(\sqrt[3]{m^2} - 3)}{\sqrt[3]{m^2} - 3} = \sqrt[3]{m}\) 2) \(\frac{x^{\frac{1}{3}} - 2x^{\frac{1}{6}}y^{\frac{1}{6}} + y^{\frac{1}{3}}}{x^{\frac{1}{2}}y^{\frac{1}{3}} - x^{\frac{1}{3}}y^{\frac{1}{2}}} = \frac{(x^{\frac{1}{6}} - y^{\frac{1}{6}})^2}{x^{\frac{1}{3}}y^{\frac{1}{3}}(x^{\frac{1}{6}} - y^{\frac{1}{6}})} = \frac{x^{\frac{1}{6}} - y^{\frac{1}{6}}}{x^{\frac{1}{3}}y^{\frac{1}{3}}} = \frac{x^{\frac{1}{6}}}{x^{\frac{1}{3}}y^{\frac{1}{3}}} - \frac{y^{\frac{1}{6}}}{x^{\frac{1}{3}}y^{\frac{1}{3}}} = \frac{1}{x^{\frac{1}{6}}y^{\frac{1}{3}}} - \frac{1}{x^{\frac{1}{3}}y^{\frac{1}{6}}}\)