展開する 7x^{7/5}(x^{11/5}-2x)

解

展開する

7 x^{\frac{7}{5}} (x^{\frac{11}{5}} - 2 x)

7 x^{\frac{18}{5}} - 14 x^{\frac{12}{5}}

解答ステップ

7 x^{\frac{7}{5}} (x^{\frac{11}{5}} - 2 x)

分配法則を適用する:

a (b - c) = ab - a c

7 x^{\frac{7}{5}} (x^{\frac{11}{5}} - 2 x) = 7 x^{\frac{7}{5}} x^{\frac{11}{5}} - 7 x^{\frac{7}{5}} \cdot 2 x

= 7 x^{\frac{7}{5}} x^{\frac{11}{5}} - 7 x^{\frac{7}{5}} \cdot 2 x

7 x^{\frac{7}{5}} x^{\frac{11}{5}} = 7 x^{\frac{18}{5}}

7 x^{\frac{7}{5}} \cdot 2 x = 14 x^{\frac{12}{5}}

= 7 x^{\frac{18}{5}} - 14 x^{\frac{12}{5}}