erweitern 6/((s-2)^4(s^2-s+4))

Lösung

erweitern

\frac{6}{( s - 2 ) ^{4} ( s ^{2} - s + 4 )}

\frac{6}{s ^{6} - 9 s ^{5} + 36 s ^{4} - 88 s ^{3} + 144 s ^{2} - 144 s + 64}

Schritte zur Lösung

\frac{6}{( s - 2 ) ^{4} ( s ^{2} - s + 4 )}

(s - 2)^{4} = s^{4} - 8 s^{3} + 24 s^{2} - 32 s + 16

= \frac{6}{( s ^{4} - 8 s ^{3} + 24 s ^{2} - 32 s + 16 ) ( s ^{2} - s + 4 )}

Multipliziere aus

(s^{4} - 8 s^{3} + 24 s^{2} - 32 s + 16) (s^{2} - s + 4) : s^{6} - 9 s^{5} + 36 s^{4} - 88 s^{3} + 144 s^{2} - 144 s + 64

= \frac{6}{s ^{6} - 9 s ^{5} + 36 s ^{4} - 88 s ^{3} + 144 s ^{2} - 144 s + 64}

e x p an d - 2 (2 x - 9 + 1 = 17 - 4 x)

e x p an d a c + ab (e + d g + 2 df)

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

e x p an d 3 x^{2} (3 e^{x} + c) + 3 e^{x} x^{3}

e x p an d \frac{1}{8} c^{9}