erweitern (10x+0.5)/((x^2-1.2x+0.2)(x-1))

Lösung

erweitern

\frac{10 x + 0.5}{( x ^{2} - 1.2 x + 0.2 ) ( x - 1 )}

\frac{10 x + 0.5}{x ^{3} - 2.2 x ^{2} + 1.4 x - 0.2}

Schritte zur Lösung

\frac{10 x + 0.5}{( x ^{2} - 1.2 x + 0.2 ) ( x - 1 )}

Multipliziere aus

(x^{2} - 1.2 x + 0.2) (x - 1) : x^{3} - 2.2 x^{2} + 1.4 x - 0.2

= \frac{10 x + 0.5}{x ^{3} - 2.2 x ^{2} + 1.4 x - 0.2}

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

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

e x p an d (t^{2} + e^{t}) \cdot u \cdot (t - 3)

s im pl i f y (\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2}

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