展开 (1-4/x)e^x

解答

展开

(1 - \frac{4}{x}) e^{x}

e^{x} - \frac{4 e ^{x}}{x}

求解步骤

(1 - \frac{4}{x}) e^{x}

= e^{x} (1 - \frac{4}{x})

使用分配律:

a (b - c) = ab - a c

a = e^{x}, b = 1, c = \frac{4}{x}

= e^{x} \cdot 1 - e^{x} \frac{4}{x}

= 1 \cdot e^{x} - e^{x} \frac{4}{x}

化简

1 \cdot e^{x} - e^{x} \frac{4}{x} : e^{x} - \frac{4 e ^{x}}{x}

= e^{x} - \frac{4 e ^{x}}{x}

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