erweitern (s^3+8s^2+4s+3)/(s^2(s^2+4s+3))

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

s^{2} (s^{2} + 4 s + 3) : s^{4} + 4 s^{3} + 3 s^{2}

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

e x p an d (- ux) d x + (x (u d x + x d u) + x y (u d x + x d u)) d y

e x p an d \frac{1}{3} (2 + \frac{1}{5} (4 z - 1) = \frac{3}{4} z - \frac{1}{3})

e x p an d 2 e^{- x^{2} - y^{2}} y - 2 e^{- x^{2} - y^{2}} y (y^{2} - x^{2})

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

e x p an d x H (x - 1) + (4 - 2 x) H (x - 2) - (3 - x) H (x - 3)