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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

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

e x p an d \frac{1}{( 2 ^{2} + 4 ) ^{- 5}}

e x p an d x (0.36 x + 0.625 y \cdot ln ∣ x ∣)

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

e x p an d \frac{3 ^{(n + 1) \cdot (n + 2)} + 65}{72}