erweitern ((s^2+6))/((s(s-1)(s+2)(s-3)))

Lösung

erweitern

\frac{( s ^{2} + 6 )}{( s ( s - 1 ) ( s + 2 ) ( s - 3 ) )}

\frac{s ^{2} + 6}{s ^{4} - 2 s ^{3} - 5 s ^{2} + 6 s}

Schritte zur Lösung

\frac{s ^{2} + 6}{s ( s - 1 ) ( s + 2 ) ( s - 3 )}

Multipliziere aus

s (s - 1) (s + 2) (s - 3) : s^{4} - 2 s^{3} - 5 s^{2} + 6 s

= \frac{s ^{2} + 6}{s ^{4} - 2 s ^{3} - 5 s ^{2} + 6 s}

e x p an d \frac{4 x ^{2} - 15 x - 1}{( x - 1 ) ( x + 2 ) ( x - 3 )}

e x p an d π (x + 1)^{2}

e x p an d \frac{- 3 x ^{2} + 10}{x ^{2} ( x ^{4} - 25 )}

e x p an d (1 - cos^{2} (x))^{3}

e x p an d (cos (x) - 1) (sin (x) - 1)