展開する x^{2/5}(x^{2/5}-x^{3/5})

解

展開する

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

x^{\frac{4}{5}} - x

解答ステップ

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

分配法則を適用する:

a (b - c) = ab - a c

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

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

x^{\frac{2}{5}} x^{\frac{2}{5}} = x^{\frac{4}{5}}

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

= x^{\frac{4}{5}} - x