erweitern (1.2538(1+0.16s)(1+0.16s))/s

Lösung

erweitern

\frac{1.2538 ( 1 + 0.16 s ) ( 1 + 0.16 s )}{s}

\frac{1.2538}{s} + 0.401216 + 0.03209728 s

Schritte zur Lösung

\frac{1.2538 ( 1 + 0.16 s ) ( 1 + 0.16 s )}{s}

1.2538 (1 + 0.16 s) (1 + 0.16 s) = 1.2538 (1 + 0.16 s)^{2}

= \frac{1.2538 ( 0.16 s + 1 ) ^{2}}{s}

(1 + 0.16 s)^{2} = 1 + 0.32 s + 0.0256 s^{2}

= \frac{1.2538 ( 0.0256 s ^{2} + 0.32 s + 1 )}{s}

Multipliziere aus

1.2538 (1 + 0.32 s + 0.0256 s^{2}) : 1.2538 + 0.401216 s + 0.03209728 s^{2}

= \frac{1.2538 + 0.401216 s + 0.03209728 s ^{2}}{s}

Wende Bruchregel an:

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

\frac{1.2538 + 0.401216 s + 0.03209728 s ^{2}}{s} = \frac{1.2538}{s} + \frac{0.401216 s}{s} + \frac{0.03209728 s ^{2}}{s}

= \frac{1.2538}{s} + \frac{0.401216 s}{s} + \frac{0.03209728 s ^{2}}{s}

Streiche

\frac{0.401216 s}{s} : 0.401216

= \frac{1.2538}{s} + 0.401216 + \frac{0.03209728 s ^{2}}{s}

Streiche

\frac{0.03209728 s ^{2}}{s} : 0.03209728 s

= \frac{1.2538}{s} + 0.401216 + 0.03209728 s

e x p an d \frac{- 2 s ^{2} - 3 s - 11}{( s - 1 ) ( s + 2 ) ( s - 3 )}

e x p an d \frac{( x - 6 ) ^{2}}{6 - 5 x}

e x p an d \frac{( 2 x + 2 ) ( x ^{2} - 4 )}{( 2 x ^{2} + 9 x + 4 )}

e x p an d - \frac{1}{( x - 5 ) ^{3}}

e x p an d lo g_{3} (\frac{3 w x y}{5 z})