展開する (0.1e^{0.1x})(x+0.9)

解

展開する

(0.1 e^{0.1 x}) (x + 0.9)

0.1 e^{0.1 x} x + 0.09 e^{0.1 x}

解答ステップ

(0.1 e^{0.1 x}) (x + 0.9)

分配法則を適用する:

a (b + c) = ab + a c

a = (0.1 e^{0.1 x}), b = x, c = 0.9

= (0.1 e^{0.1 x}) x + (0.1 e^{0.1 x}) \cdot 0.9

= x (0.1 e^{0.1 x}) + 0.9 (0.1 e^{0.1 x})

簡素化

x (0.1 e^{0.1 x}) + 0.9 (0.1 e^{0.1 x}) : 0.1 e^{0.1 x} x + 0.09 e^{0.1 x}

= 0.1 e^{0.1 x} x + 0.09 e^{0.1 x}