erweitern (0.1(s+1)(s+30.1))/s

Lösung

erweitern

\frac{0.1 ( s + 1 ) ( s + 30.1 )}{s}

0.1 s + 3.11 + \frac{3.01}{s}

Schritte zur Lösung

\frac{0.1 ( s + 1 ) ( s + 30.1 )}{s}

Multipliziere aus

0.1 (s + 1) (s + 30.1) : 0.1 s^{2} + 3.11 s + 3.01

= \frac{0.1 s ^{2} + 3.11 s + 3.01}{s}

Wende Bruchregel an:

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

\frac{0.1 s ^{2} + 3.11 s + 3.01}{s} = \frac{0.1 s ^{2}}{s} + \frac{3.11 s}{s} + \frac{3.01}{s}

= \frac{0.1 s ^{2}}{s} + \frac{3.11 s}{s} + \frac{3.01}{s}

Streiche

\frac{0.1 s ^{2}}{s} : 0.1 s

= 0.1 s + \frac{3.11 s}{s} + \frac{3.01}{s}

Streiche

\frac{3.11 s}{s} : 3.11

= 0.1 s + 3.11 + \frac{3.01}{s}

e x p an d \frac{( x + 1 ) ^{2}}{2}

e x p an d (\frac{3}{2}, \frac{5}{4}) y (\frac{1}{2}, - \frac{3}{4})

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

e x p an d (sec (u) - tan (u)) (csc (u) + 1)

d o main f (x) = lo g_{5} (x) (x + 2)