Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 475

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\[1)\ x^{\frac{1}{3}} + x^{\frac{2}{3}} = x^{\frac{1}{3}} \bullet \left( 1 + x^{\frac{1}{3}} \right);\]

\[2)\ \left( \text{ab} \right)^{\frac{1}{3}} + \left( \text{ac} \right)^{\frac{1}{3}} = a^{\frac{1}{3}} \bullet b^{\frac{1}{3}} +\]

\[+ a^{\frac{1}{3}} \bullet c^{\frac{1}{3}} = a^{\frac{1}{3}} \bullet \left( b^{\frac{1}{3}} + c^{\frac{1}{3}} \right);\]

\[3)\ y^{\frac{3}{4}} - y^{\frac{2}{3}} = y^{\frac{9}{12}} - y^{\frac{8}{12}} =\]

\[= y^{\frac{8}{12}} \bullet \left( y^{\frac{1}{12}} - 1 \right);\]

\[4)\ 12xy^{\frac{1}{2}} - 4x^{\frac{1}{2}}y =\]

\[= 4x^{\frac{1}{2}}y^{\frac{1}{2}} \bullet \left( 3x^{\frac{1}{2}} - y^{\frac{1}{2}} \right).\]