erweitern (2(3s^3-9s^2+15s-6))/((s^2-4s+5)^2)

Lösung

erweitern

\frac{2 ( 3 s ^{3} - 9 s ^{2} + 15 s - 6 )}{( s ^{2} - 4 s + 5 ) ^{2}}

\frac{6 s ^{3} - 18 s ^{2} + 30 s - 12}{s ^{4} - 8 s ^{3} + 26 s ^{2} - 40 s + 25}

Schritte zur Lösung

\frac{2 ( 3 s ^{3} - 9 s ^{2} + 15 s - 6 )}{( s ^{2} - 4 s + 5 ) ^{2}}

(s^{2} - 4 s + 5)^{2} = s^{4} - 8 s^{3} + 26 s^{2} - 40 s + 25

= \frac{2 ( 3 s ^{3} - 9 s ^{2} + 15 s - 6 )}{s ^{4} - 8 s ^{3} + 26 s ^{2} - 40 s + 25}

Multipliziere aus

2 (3 s^{3} - 9 s^{2} + 15 s - 6) : 6 s^{3} - 18 s^{2} + 30 s - 12

= \frac{6 s ^{3} - 18 s ^{2} + 30 s - 12}{s ^{4} - 8 s ^{3} + 26 s ^{2} - 40 s + 25}

e x p an d (45 d u - 8) (45 d u + 8)

\frac{\partial}{\partial x} ((M) (1 + y (M, x)))

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

e x p an d \frac{2500 s ( 20 s + 200 )}{( s + 1 ) ( s ^{2} + 100 s + 10000 )}

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