erweitern (2s^3-3s^2+10s-12)/((s^2+1)(s-2)^2)

Lösung

erweitern

\frac{2 s ^{3} - 3 s ^{2} + 10 s - 12}{( s ^{2} + 1 ) ( s - 2 ) ^{2}}

\frac{2 s ^{3} - 3 s ^{2} + 10 s - 12}{s ^{4} - 4 s ^{3} + 5 s ^{2} - 4 s + 4}

Schritte zur Lösung

\frac{2 s ^{3} - 3 s ^{2} + 10 s - 12}{( s ^{2} + 1 ) ( s - 2 ) ^{2}}

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

= \frac{2 s ^{3} - 3 s ^{2} + 10 s - 12}{( s ^{2} + 1 ) ( s ^{2} - 4 s + 4 )}

Multipliziere aus

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

= \frac{2 s ^{3} - 3 s ^{2} + 10 s - 12}{s ^{4} - 4 s ^{3} + 5 s ^{2} - 4 s + 4}

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

e x p an d 2295491.0887 \cdot (1.08)^{16}

e x p an d (x - 9 \circ x^{2}) \cdot 4

e x p an d \frac{e ^{- 2 + 2} ( 6 - 4 2 )}{49}

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