erweitern (-4s^2-16s-15)/((2s-1)(s+2)^3)

Lösung

erweitern

\frac{- 4 s ^{2} - 16 s - 15}{( 2 s - 1 ) ( s + 2 ) ^{3}}

\frac{- 4 s ^{2} - 16 s - 15}{2 s ^{4} + 11 s ^{3} + 18 s ^{2} + 4 s - 8}

Schritte zur Lösung

\frac{- 4 s ^{2} - 16 s - 15}{( 2 s - 1 ) ( s + 2 ) ^{3}}

(s + 2)^{3} = s^{3} + 6 s^{2} + 12 s + 8

= \frac{- 4 s ^{2} - 16 s - 15}{( 2 s - 1 ) ( s ^{3} + 6 s ^{2} + 12 s + 8 )}

Multipliziere aus

(2 s - 1) (s^{3} + 6 s^{2} + 12 s + 8) : 2 s^{4} + 11 s^{3} + 18 s^{2} + 4 s - 8

= \frac{- 4 s ^{2} - 16 s - 15}{2 s ^{4} + 11 s ^{3} + 18 s ^{2} + 4 s - 8}

e x p an d e^{- 0.5 x} (4 - x) - 2

e x p an d \frac{s}{( s ^{2} - 9 ) ^{2}}

e x p an d (x + 1) (x - 1) (x + 2) x + 1

e x p an d A (2, - 7)

e x p an d \frac{8}{( x - 1 ) ^{3}}