展开 (e^x(x-3))/(x^4)

解答

展开

\frac{e ^{x} ( x - 3 )}{x ^{4}}

\frac{e ^{x}}{x ^{3}} - \frac{3 e ^{x}}{x ^{4}}

求解步骤

\frac{e ^{x} ( x - 3 )}{x ^{4}}

乘开

e^{x} (x - 3) : e^{x} x - 3 e^{x}

= \frac{e ^{x} x - 3 e ^{x}}{x ^{4}}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{e ^{x} x - 3 e ^{x}}{x ^{4}} = \frac{e ^{x} x}{x ^{4}} - \frac{3 e ^{x}}{x ^{4}}

= \frac{e ^{x} x}{x ^{4}} - \frac{3 e ^{x}}{x ^{4}}

消掉

\frac{e ^{x} x}{x ^{4}} : \frac{e ^{x}}{x ^{3}}

= \frac{e ^{x}}{x ^{3}} - \frac{3 e ^{x}}{x ^{4}}

e x p an d (4 E (x, y) x - 5 E (x, y) y = 14.17) x - 2

e x p an d \frac{2 x + 2 sin ( 2 x ) ( x ^{2} + 1 )}{cos ( 2 x )}

e x p an d \frac{( x ^{2} - 3 x - 4 b - 12 )}{x ( x + b )}

e x p an d (e + f + e^{4} + f^{4}) (e + f - e^{4} + f^{4})

e x p an d a^{2 (n + 1)} - 2 a^{n + 1} b^{n - 1} + 120 b^{2 (n - 1)}