vereinfachen (k(s+0.5))/((s+2)^2(s+1)+k(s+0.5))

Lösung

vereinfachen

\frac{k ( s + 0.5 )}{( s + 2 ) ^{2} ( s + 1 ) + k ( s + 0.5 )}

\frac{k ( s + 0.5 )}{s ^{3} + 5 s ^{2} + 8 s + 4 + k s + 0.5 k}

Schritte zur Lösung

\frac{k ( s + 0.5 )}{( s + 2 ) ^{2} ( s + 1 ) + k ( s + 0.5 )}

Schreibe

(s + 2)^{2} (s + 1)

um:

s^{3} + 5 s^{2} + 8 s + 4

= \frac{k ( s + 0.5 )}{s ^{3} + 5 s ^{2} + 8 s + 4 + k ( s + 0.5 )}

Schreibe

k (s + 0.5)

um:

k s + 0.5 k

= \frac{k ( s + 0.5 )}{s ^{3} + 5 s ^{2} + 8 s + 4 + k s + 0.5 k}

e x p an d 3 sin (θ^{2}) - (1 + sin (θ))^{2} d θ

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

e x p an d \frac{( 10 x ^{2} + y ^{2} + 5 x y ) x y}{5}

e x p an d \frac{2 + s}{( 100 + s ) ^{2}}

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