erweitern 1/(\sqrt[3]{1-x^2)}

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere mit dem Konjugat

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

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

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

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

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

e x p an d (x + 2 y) d x + (2 x + y) d y

e x p an d (1 + sin (x))^{2} + cos^{2} (t)

e x p an d \frac{2 ( 15 - 15 )}{21}

e x p an d \frac{6 y - ( - 1 ) ^{y} + 3}{2}

e x p an d ln (2) (x - 1)