展开 (0.1e^{0.1x})(x+0.9)

解答

展开

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

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

求解步骤

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

使用分配律:

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})

化简

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}

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