展開する r^{2/5}(r^{3/5}+r^{8/5})

解

展開する

r^{\frac{2}{5}} (r^{\frac{3}{5}} + r^{\frac{8}{5}})

r + r^{2}

解答ステップ

r^{\frac{2}{5}} (r^{\frac{3}{5}} + r^{\frac{8}{5}})

分配法則を適用する:

a (b + c) = ab + a c

r^{\frac{2}{5}} (r^{\frac{3}{5}} + r^{\frac{8}{5}}) = r^{\frac{2}{5}} r^{\frac{3}{5}} + r^{\frac{2}{5}} r^{\frac{8}{5}}

= r^{\frac{2}{5}} r^{\frac{3}{5}} + r^{\frac{2}{5}} r^{\frac{8}{5}}

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

r^{\frac{2}{5}} r^{\frac{8}{5}} = r^{2}

= r + r^{2}