展開する (0.2m-3n)*x^{0.7}m

解

展開する

(0.2 m - 3 n) \cdot x^{0.7} m

0.2 m^{2} x^{0.7} - 3 m x^{0.7} n

解答ステップ

(0.2 m - 3 n) x^{0.7} m

= m x^{0.7} (0.2 m - 3 n)

分配法則を適用する:

a (b - c) = ab - a c

m x^{0.7} (0.2 m - 3 n) = m x^{0.7} \cdot 0.2 m - m x^{0.7} \cdot 3 n

= m x^{0.7} \cdot 0.2 m - m x^{0.7} \cdot 3 n

簡素化

m x^{0.7} \cdot 0.2 m - m x^{0.7} \cdot 3 n : 0.2 m^{2} x^{0.7} - 3 m x^{0.7} n

= 0.2 m^{2} x^{0.7} - 3 m x^{0.7} n