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

Lösung

erweitern

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

\frac{x}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

Schritte zur Lösung

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

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

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

Multipliziere aus

(1 - 2 x + x^{2}) (1 - 3 x) : 1 - 5 x + 7 x^{2} - 3 x^{3}

= \frac{x}{1 - 5 x + 7 x ^{2} - 3 x ^{3}}

e x p an d \frac{2 x ( 10 x ^{2} - x ^{3} )}{75}

e x p an d \frac{b ( - 144 + 16 x ^{2} + 9 y ^{2} ) ^{2}}{20736}

e x p an d H (- 3.6) U (7, - 4)

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

e x p an d (e^{x} - 2) (e^{x} - 3)