erweitern-(8(-3s^2+18s-11))/((s^2-6s+25)^3)

Lösung

erweitern

- \frac{8 ( - 3 s ^{2} + 18 s - 11 )}{( s ^{2} - 6 s + 25 ) ^{3}}

- \frac{- 24 s ^{2} + 144 s - 88}{s ^{6} - 18 s ^{5} + 183 s ^{4} - 1116 s ^{3} + 4575 s ^{2} - 11250 s + 15625}

Schritte zur Lösung

- \frac{8 ( - 3 s ^{2} + 18 s - 11 )}{( s ^{2} - 6 s + 25 ) ^{3}}

(s^{2} - 6 s + 25)^{3} = s^{6} - 18 s^{5} + 183 s^{4} - 1116 s^{3} + 4575 s^{2} - 11250 s + 15625

= - \frac{8 ( - 3 s ^{2} + 18 s - 11 )}{s ^{6} - 18 s ^{5} + 183 s ^{4} - 1116 s ^{3} + 4575 s ^{2} - 11250 s + 15625}

Multipliziere aus

8 (- 3 s^{2} + 18 s - 11) : - 24 s^{2} + 144 s - 88

= - \frac{- 24 s ^{2} + 144 s - 88}{s ^{6} - 18 s ^{5} + 183 s ^{4} - 1116 s ^{3} + 4575 s ^{2} - 11250 s + 15625}

e x p an d (x^{10} + lo g_{12} (x))^{2}

e x p an d \frac{2 ( π + 180 )}{360}

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

e x p an d \frac{1}{s ( s + 4 )}

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