Evaluate
\frac{\left(\sqrt[3]{x}+2\sqrt{2}+\frac{2}{x}\right)^{10}}{1024}
Expand
\frac{x^{\frac{10}{3}}}{1024}+\frac{5\sqrt{2}x^{3}}{256}+\frac{45x^{\frac{8}{3}}}{128}+\frac{15\sqrt{2}x^{\frac{7}{3}}}{8}+\frac{3365x^{2}}{256}+\frac{4077\sqrt{2}x^{\frac{5}{3}}}{128}+\frac{885x^{\frac{4}{3}}}{8}+\frac{585\sqrt{2}x}{4}+\frac{86445x^{\frac{2}{3}}}{256}+\frac{6365\sqrt{2}\sqrt[3]{x}}{16}+\frac{7291}{8}+\frac{1755\sqrt{2}}{2\sqrt[3]{x}}+\frac{24135}{16x^{\frac{2}{3}}}+\frac{11465\sqrt{2}}{8x}+\frac{5355}{2x^{\frac{4}{3}}}+\frac{1965\sqrt{2}}{x^{\frac{5}{3}}}+\frac{90345}{32x^{2}}+\frac{20475\sqrt{2}}{8x^{\frac{7}{3}}}+\frac{15015}{4x^{\frac{8}{3}}}+\frac{2010\sqrt{2}}{x^{3}}+\frac{25263}{8x^{\frac{10}{3}}}+\frac{10395\sqrt{2}}{4x^{\frac{11}{3}}}+\frac{2310}{x^{4}}+\frac{1260\sqrt{2}}{x^{\frac{13}{3}}}+\frac{20265}{8x^{\frac{14}{3}}}+\frac{1113\sqrt{2}}{x^{5}}+\frac{630}{x^{\frac{16}{3}}}+\frac{840\sqrt{2}}{x^{\frac{17}{3}}}+\frac{855}{x^{6}}+\frac{90\sqrt{2}}{x^{\frac{19}{3}}}+\frac{360}{x^{\frac{20}{3}}}+\frac{240\sqrt{2}}{x^{7}}+\frac{45}{4x^{\frac{22}{3}}}+\frac{45\sqrt{2}}{x^{\frac{23}{3}}}+\frac{90}{x^{8}}+\frac{5}{x^{\frac{26}{3}}}+\frac{10\sqrt{2}}{x^{9}}+\frac{1}{x^{10}}
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