展開する x^{1/5}(x+1)

解

展開する

x^{\frac{1}{5}} (x + 1)

x^{\frac{6}{5}} + x^{\frac{1}{5}}

解答ステップ

x^{\frac{1}{5}} (x + 1)

分配法則を適用する:

a (b + c) = ab + a c

x^{\frac{1}{5}} (x + 1) = x^{\frac{1}{5}} x + x^{\frac{1}{5}} \cdot 1

= x^{\frac{1}{5}} x + x^{\frac{1}{5}} \cdot 1

x^{\frac{1}{5}} x = x^{\frac{6}{5}}

x^{\frac{1}{5}} \cdot 1 = x^{\frac{1}{5}}

= x^{\frac{6}{5}} + x^{\frac{1}{5}}