erweitern (6.3223(s+1.4235)^2)/s

Lösung

erweitern

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

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

Schritte zur Lösung

\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}

Multipliziere aus

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}

Wende Bruchregel an:

\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}

Streiche

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

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

Streiche

\frac{17.9995881 s}{s} : 17.9995881

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

e x p an d \frac{1}{s ^{2} ( s - 4 )}

e x p an d (y - x) (- 8, - 2, - 7)

e x p an d \frac{5 ( 2 + 2 )}{2}

\frac{d}{d t} ((x) (π - t))

e x p an d \frac{( - 2 x + 7 ) ( x + 1 )}{x - 3}