展开-(sqrt(3)jx(ae^{pi/t}-be^{pi/t}))/2

解答

展开

- \frac{3 j x ( a e ^{\frac{π}{t}} - b e ^{\frac{π}{t}} )}{2}

- \frac{3 aj e ^{\frac{π}{t}} x}{2} + \frac{3 bj e ^{\frac{π}{t}} x}{2}

求解步骤

- \frac{3 j x ( a e ^{\frac{π}{t}} - b e ^{\frac{π}{t}} )}{2}

乘开

3 j x (a e^{\frac{π}{t}} - b e^{\frac{π}{t}}) : 3 aj e^{\frac{π}{t}} x - 3 bj e^{\frac{π}{t}} x

= - \frac{3 aj e ^{\frac{π}{t}} x - 3 bj e ^{\frac{π}{t}} x}{2}

使用分式法则:

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

\frac{3 aj e ^{\frac{π}{t}} x - 3 bj e ^{\frac{π}{t}} x}{2} = - (\frac{3 aj e ^{\frac{π}{t}} x}{2}) - (- \frac{3 bj e ^{\frac{π}{t}} x}{2})

= - (\frac{3 aj e ^{\frac{π}{t}} x}{2}) - (- \frac{3 bj e ^{\frac{π}{t}} x}{2})

去除括号:

(a) = a, - (- a) = a

= - \frac{3 aj e ^{\frac{π}{t}} x}{2} + \frac{3 bj e ^{\frac{π}{t}} x}{2}

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