簡約 (x+x^{1/3}(x-3))/(x-3)+sqrt(x)

解

簡約

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

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

解答ステップ

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

結合

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

= \frac{x ^{\frac{3}{2}} - 3 x + x + x ^{\frac{4}{3}} - x ^{\frac{1}{3}} \cdot 3}{x - 3}

= \frac{x ^{\frac{3}{2}} - 3 x + x + x ^{\frac{4}{3}} - 3 x ^{\frac{1}{3}}}{x - 3}