erweitern ((s+1)(s+2))/((s+3)^2(s+4))

Lösung

erweitern

\frac{( s + 1 ) ( s + 2 )}{( s + 3 ) ^{2} ( s + 4 )}

\frac{s ^{2} + 3 s + 2}{s ^{3} + 10 s ^{2} + 33 s + 36}

Schritte zur Lösung

\frac{( s + 1 ) ( s + 2 )}{( s + 3 ) ^{2} ( s + 4 )}

(s + 3)^{2} = s^{2} + 6 s + 9

= \frac{( s + 1 ) ( s + 2 )}{( s ^{2} + 6 s + 9 ) ( s + 4 )}

Multipliziere aus

(s^{2} + 6 s + 9) (s + 4) : s^{3} + 10 s^{2} + 33 s + 36

= \frac{( s + 1 ) ( s + 2 )}{s ^{3} + 10 s ^{2} + 33 s + 36}

Multipliziere aus

(s + 1) (s + 2) : s^{2} + 3 s + 2

= \frac{s ^{2} + 3 s + 2}{s ^{3} + 10 s ^{2} + 33 s + 36}

e x p an d (2 x^{2} (x^{3} + y^{4}) + 3 x^{2}) e^{x^{3} + y^{3}}

e x p an d y (y - 1) d x + (x - y^{2}) d y

e x p an d (l^{3} o^{4} v^{5} - 6 e^{3}) (l^{3} o^{4} v^{5} + 6 e^{3})

e x p an d \frac{9 ( a - 2 )}{2 a + 4}

e x p an d (7 + 2) (3 - 8)