erweitern (6s^2+8s+3)/(s(s^2+2s+5))

Lösung

erweitern

\frac{6 s ^{2} + 8 s + 3}{s ( s ^{2} + 2 s + 5 )}

\frac{6 s ^{2} + 8 s + 3}{s ^{3} + 2 s ^{2} + 5 s}

Schritte zur Lösung

\frac{6 s ^{2} + 8 s + 3}{s ( s ^{2} + 2 s + 5 )}

Multipliziere aus

s (s^{2} + 2 s + 5) : s^{3} + 2 s^{2} + 5 s

= \frac{6 s ^{2} + 8 s + 3}{s ^{3} + 2 s ^{2} + 5 s}

e x p an d \frac{3}{x ( x + 6 )}

e x p an d \frac{k ^{3} + 5 k ^{2} + 6 k + 4}{2 k ( k + 2 ) ^{2}}

s im pl i f y 5 (5 + y 15)

e x p an d - 96 (s + s^{'})^{10}

e x p an d (3 (1 - cos (x))^{2} - 5 (1 - cos (x)) + 3) \cdot (cos (x) - 1)