erweitern (2x^5-x^4+3x^3-ax^2+bx-c)/((x-1)^3)

Lösung

erweitern

\frac{2 x ^{5} - x ^{4} + 3 x ^{3} - a x ^{2} + b x - c}{( x - 1 ) ^{3}}

\frac{2 x ^{5} - x ^{4} + 3 x ^{3} - a x ^{2} + b x - c}{x ^{3} - 3 x ^{2} + 3 x - 1}

Schritte zur Lösung

\frac{2 x ^{5} - x ^{4} + 3 x ^{3} - a x ^{2} + b x - c}{( x - 1 ) ^{3}}

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

= \frac{2 x ^{5} - x ^{4} + 3 x ^{3} - a x ^{2} + b x - c}{x ^{3} - 3 x ^{2} + 3 x - 1}

e x p an d 5000 (- 0.125 e^{- 0.125 x} x + 1.75 e^{- 0.125 x})

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

e x p an d (α_{0} + α_{1} t + α_{2} t^{2})^{2} e^{t^{2}}

e x p an d \frac{- 18 x ^{2} - 18 x - 15}{( 3 x ^{2} + 3 x - 1 ) ^{2}}

e x p an d \frac{10}{3 x ( x + 1 )}