簡約 (\sqrt[3]{x}-x)*(\sqrt[3]{x^2}+x\sqrt[3]{x}+x^2)

解

簡約

(3 x - x) \cdot (3 x^{2} + x 3 x + x^{2})

- x^{3} + 3 x^{5} + 3 x 3 x^{2} - x 3 x^{2}

解答ステップ

(3 x - x) (3 x^{2} + x 3 x + x^{2})

括弧を分配する

= 3 x 3 x^{2} + 3 x x 3 x + 3 x x^{2} - x 3 x^{2} - xx 3 x - x x^{2}

簡素化

3 x 3 x^{2} + 3 x x 3 x + 3 x x^{2} - x 3 x^{2} - xx 3 x - x x^{2} : - x^{3} + x^{\frac{5}{3}} + 3 x 3 x^{2} - x 3 x^{2}

= - x^{3} + x^{\frac{5}{3}} + 3 x 3 x^{2} - x 3 x^{2}

x^{\frac{5}{3}} = 3 x^{5}

= - x^{3} + 3 x^{5} + 3 x 3 x^{2} - x 3 x^{2}