erweitern ((sqrt(x)(7x-14)^{(1/4)}))/((1-x^3)^3)

Lösung

erweitern

\frac{( x ( 7 x - 14 ) ^{(\frac{1}{4})} )}{( 1 - x ^{3} ) ^{3}}

\frac{x ( 7 x - 14 ) ^{\frac{1}{4}}}{1 - 3 x ^{3} + 3 x ^{6} - x ^{9}}

Schritte zur Lösung

\frac{x ( 7 x - 14 ) ^{\frac{1}{4}}}{( 1 - x ^{3} ) ^{3}}

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

= \frac{x ( 7 x - 14 ) ^{\frac{1}{4}}}{1 - 3 x ^{3} + 3 x ^{6} - x ^{9}}

e x p an d - 4 ln (a) - (- 4 ln (b) - 2 ln (c))

e x p an d (1 - π)^{2}

e x p an d \frac{2 C + 75 ( x ^{2} + 4 ) ^{\frac{2}{3}}}{2}

e x p an d \frac{1}{sin ( x )}

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