展開する 5x^{2/3}(8x-4x^{1/4})

解

展開する

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}})

40 x^{\frac{5}{3}} - 20 x^{\frac{11}{12}}

解答ステップ

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}})

分配法則を適用する:

a (b - c) = ab - a c

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}}) = 5 x^{\frac{2}{3}} \cdot 8 x - 5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}}

= 5 x^{\frac{2}{3}} \cdot 8 x - 5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}}

5 x^{\frac{2}{3}} \cdot 8 x = 40 x^{\frac{5}{3}}

5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}} = 20 x^{\frac{11}{12}}

= 40 x^{\frac{5}{3}} - 20 x^{\frac{11}{12}}