erweitern (6-4x^2)/(3x^{1/3)(3+x^2)^2}

Lösung

erweitern

\frac{6 - 4 x ^{2}}{3 x ^{\frac{1}{3}} ( 3 + x ^{2} ) ^{2}}

\frac{6 - 4 x ^{2}}{27 x ^{\frac{1}{3}} + 18 x ^{\frac{7}{3}} + 3 x ^{\frac{13}{3}}}

Schritte zur Lösung

\frac{6 - 4 x ^{2}}{3 x ^{\frac{1}{3}} ( 3 + x ^{2} ) ^{2}}

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

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

Multipliziere aus

3 x^{\frac{1}{3}} (9 + 6 x^{2} + x^{4}) : 27 x^{\frac{1}{3}} + 18 x^{\frac{7}{3}} + 3 x^{\frac{13}{3}}

= \frac{6 - 4 x ^{2}}{27 x ^{\frac{1}{3}} + 18 x ^{\frac{7}{3}} + 3 x ^{\frac{13}{3}}}

e x p an d (x - 5) (x - 3 + 2 i) (x - 1 - 3 i)

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

e x p an d \frac{2 ( m + 4 )}{m + 1}

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

e x p an d \frac{p - 11}{( p - 1 ) ^{2}}