erweitern (2x^2)/((1-3x^2)^3)

Lösung

erweitern

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

\frac{2 x ^{2}}{1 - 9 x ^{2} + 27 x ^{4} - 27 x ^{6}}

Schritte zur Lösung

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

(1 - 3 x^{2})^{3} = 1 - 9 x^{2} + 27 x^{4} - 27 x^{6}

= \frac{2 x ^{2}}{1 - 9 x ^{2} + 27 x ^{4} - 27 x ^{6}}

e x p an d \frac{36 + 4 s ^{3} + 3 s ^{2}}{s ^{2} ( s ^{2} + 9 )}

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

s im pl i f y (x^{2} + 2 x) (9 - x)

e x p an d - 2 l e f t (x + \frac{1}{7})

e x p an d \frac{1 - e ^{- s}}{( s ^{2} + 2 s + 17 ) ( s )}