erweitern (2(2s^2+14s+25))/((s+4)(s+1)(s+2))

Lösung

erweitern

\frac{2 ( 2 s ^{2} + 14 s + 25 )}{( s + 4 ) ( s + 1 ) ( s + 2 )}

\frac{4 s ^{2} + 28 s + 50}{s ^{3} + 7 s ^{2} + 14 s + 8}

Schritte zur Lösung

\frac{2 ( 2 s ^{2} + 14 s + 25 )}{( s + 4 ) ( s + 1 ) ( s + 2 )}

Multipliziere aus

(s + 4) (s + 1) (s + 2) : s^{3} + 7 s^{2} + 14 s + 8

= \frac{2 ( 2 s ^{2} + 14 s + 25 )}{s ^{3} + 7 s ^{2} + 14 s + 8}

Multipliziere aus

2 (2 s^{2} + 14 s + 25) : 4 s^{2} + 28 s + 50

= \frac{4 s ^{2} + 28 s + 50}{s ^{3} + 7 s ^{2} + 14 s + 8}

e x p an d sin (x) cos (x) (cot (x) + sec (x))

e x p an d - \frac{2 ( - x ^{3} - 3 x ^{2} + 9 x + 3 )}{( x ^{2} + 3 ) ^{3}}

e x p an d (1 + \frac{1}{3} x)^{9}

e x p an d (5 - 1 + r) r

s im pl i f y (3 x - 5) (3 x - 3)