vereinfachen 1+(1.7(s+2)K)/(s^2+2s+1.81)

Lösung

vereinfachen

1 + \frac{1.7 ( s + 2 ) K}{s ^{2} + 2 s + 1.81}

\frac{s ^{2} + 2 s + 1.81 + 1.7 sK + 3.4 K}{s ^{2} + 2 s + 1.81}

Schritte zur Lösung

1 + \frac{1.7 ( s + 2 ) K}{s ^{2} + 2 s + 1.81}

Wende Bruchregel an:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{( s ^{2} + 2 s + 1.81 ) + 1.7 ( s + 2 ) K}{s ^{2} + 2 s + 1.81}

Apply rule:

(a) = a

(s^{2} + 2 s + 1.81) = s^{2} + 2 s + 1.81

= \frac{s ^{2} + 2 s + 1.81 + 1.7 ( s + 2 ) K}{s ^{2} + 2 s + 1.81}

Vereinfache

s^{2} + 2 s + 1.81 + 1.7 (s + 2) K : s^{2} + 2 s + 1.81 + 1.7 sK + 3.4 K

= \frac{s ^{2} + 2 s + 1.81 + 1.7 sK + 3.4 K}{s ^{2} + 2 s + 1.81}

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

e x p an d (0) (9 i) (1 - i)

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

e x p an d \frac{3 \cdot ( - x ^{2} + 3 )}{x ^{4}}

e x p an d \frac{2 ( 3354 - 27 )}{3}