erweitern (2s^3-26s^2+102s-124)/((s-3)^3(s-4))

Lösung

erweitern

\frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{( s - 3 ) ^{3} ( s - 4 )}

\frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{s ^{4} - 13 s ^{3} + 63 s ^{2} - 135 s + 108}

Schritte zur Lösung

\frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{( s - 3 ) ^{3} ( s - 4 )}

(s - 3)^{3} = s^{3} - 9 s^{2} + 27 s - 27

= \frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{( s ^{3} - 9 s ^{2} + 27 s - 27 ) ( s - 4 )}

Multipliziere aus

(s^{3} - 9 s^{2} + 27 s - 27) (s - 4) : s^{4} - 13 s^{3} + 63 s^{2} - 135 s + 108

= \frac{2 s ^{3} - 26 s ^{2} + 102 s - 124}{s ^{4} - 13 s ^{3} + 63 s ^{2} - 135 s + 108}

e x p an d \frac{\partial}{\partial y} (5 e^{y}) + e^{y} (5 x + 5 y)

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

\frac{d}{d s} ((x (s, t)) (\frac{s}{2} - 3 sin (s - 2 t)))

e x p an d (1 - cos (a))^{2}

s im pl i f y 8 (7 - 4)