簡約 (4(3x^{2/3}\sqrt[3]{x}-2(x+1)))/(9\sqrt[3]{x)x^{4/3}}

解

簡約

\frac{4 ( 3 x ^{\frac{2}{3}} 3 x - 2 ( x + 1 ) )}{9 3 x x ^{\frac{4}{3}}}

\frac{4 ( x - 2 )}{9 x ^{\frac{5}{3}}}

解答ステップ

\frac{4 ( 3 x ^{\frac{2}{3}} 3 x - 2 ( x + 1 ) )}{9 3 x x ^{\frac{4}{3}}}

簡素化

3 x^{\frac{2}{3}} 3 x - 2 (x + 1) : x - 2

= \frac{4 ( x - 2 )}{9 3 x x ^{\frac{4}{3}}}

簡素化

9 3 x x^{\frac{4}{3}} : 9 x^{\frac{5}{3}}

= \frac{4 ( x - 2 )}{9 x ^{\frac{5}{3}}}