展開する 2m^{1/3}(3m^{2/3}-m^6)

解

展開する

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6})

6 m - 2 m^{\frac{19}{3}}

解答ステップ

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6})

分配法則を適用する:

a (b - c) = ab - a c

2 m^{\frac{1}{3}} (3 m^{\frac{2}{3}} - m^{6}) = 2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} - 2 m^{\frac{1}{3}} m^{6}

= 2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} - 2 m^{\frac{1}{3}} m^{6}

2 m^{\frac{1}{3}} \cdot 3 m^{\frac{2}{3}} = 6 m

2 m^{\frac{1}{3}} m^{6} = 2 m^{\frac{19}{3}}

= 6 m - 2 m^{\frac{19}{3}}