展开 (6.3223(s+1.4235)^2)/s

解答

展开

\frac{6.3223 ( s + 1.4235 ) ^{2}}{s}

6.3223 s + 17.9995881 + \frac{12.81120 \dots}{s}

求解步骤

\frac{6.3223 ( s + 1.4235 ) ^{2}}{s}

(s + 1.4235)^{2} = s^{2} + 2.847 s + 2.02635225

= \frac{6.3223 ( s ^{2} + 2.847 s + 2.02635225 )}{s}

乘开

6.3223 (s^{2} + 2.847 s + 2.02635225) : 6.3223 s^{2} + 17.9995881 s + 12.81120 \dots

= \frac{6.3223 s ^{2} + 17.9995881 s + 12.81120 \dots}{s}

使用分式法则:

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

\frac{6.3223 s ^{2} + 17.9995881 s + 12.81120 \dots}{s} = \frac{6.3223 s ^{2}}{s} + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

= \frac{6.3223 s ^{2}}{s} + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

消掉

\frac{6.3223 s ^{2}}{s} : 6.3223 s

= 6.3223 s + \frac{17.9995881 s}{s} + \frac{12.81120 \dots}{s}

消掉

\frac{17.9995881 s}{s} : 17.9995881

= 6.3223 s + 17.9995881 + \frac{12.81120 \dots}{s}

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