erweitern (99.6(s+0.5)^2)/s

Lösung

erweitern

\frac{99.6 ( s + 0.5 ) ^{2}}{s}

99.6 s + 99.6 + \frac{24.9}{s}

Schritte zur Lösung

\frac{99.6 ( s + 0.5 ) ^{2}}{s}

(s + 0.5)^{2} = s^{2} + s + 0.25

= \frac{99.6 ( s ^{2} + s + 0.25 )}{s}

Multipliziere aus

99.6 (s^{2} + s + 0.25) : 99.6 s^{2} + 99.6 s + 24.9

= \frac{99.6 s ^{2} + 99.6 s + 24.9}{s}

Wende Bruchregel an:

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

\frac{99.6 s ^{2} + 99.6 s + 24.9}{s} = \frac{99.6 s ^{2}}{s} + \frac{99.6 s}{s} + \frac{24.9}{s}

= \frac{99.6 s ^{2}}{s} + \frac{99.6 s}{s} + \frac{24.9}{s}

Streiche

\frac{99.6 s ^{2}}{s} : 99.6 s

= 99.6 s + \frac{99.6 s}{s} + \frac{24.9}{s}

Streiche

\frac{99.6 s}{s} : 99.6

= 99.6 s + 99.6 + \frac{24.9}{s}

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