展開する x^{1/4}(2x^{3/4}-x^{1/4})

解

展開する

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

2 x - x^{\frac{1}{2}}

解答ステップ

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

分配法則を適用する:

a (b - c) = ab - a c

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

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

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

x^{\frac{1}{4}} x^{\frac{1}{4}} = x^{\frac{1}{2}}

= 2 x - x^{\frac{1}{2}}