erweitern (s^2+3)/(s(s+2)^2(s+1))

Lösung

erweitern

\frac{s ^{2} + 3}{s ( s + 2 ) ^{2} ( s + 1 )}

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

Schritte zur Lösung

\frac{s ^{2} + 3}{s ( s + 2 ) ^{2} ( s + 1 )}

(s + 2)^{2} = s^{2} + 4 s + 4

= \frac{s ^{2} + 3}{s ( s ^{2} + 4 s + 4 ) ( s + 1 )}

Multipliziere aus

s (s^{2} + 4 s + 4) (s + 1) : s^{4} + 5 s^{3} + 8 s^{2} + 4 s

= \frac{s ^{2} + 3}{s ^{4} + 5 s ^{3} + 8 s ^{2} + 4 s}

e x p an d \frac{3 x ^{3} - x ^{2} + 6 x - 4}{( x ^{2} + 1 ) ( x ^{2} + 2 )}

e x p an d (x^{\frac{1}{3}} - \frac{2}{3})^{6}

e x p an d \frac{- 2 x ^{2} + 1}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

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

s im pl i f y (3 u - \frac{3}{7} v)^{2}