erweitern-(2(-19x^6-63x^4+3x^2-1))/((x^3-x)^3)

Lösung

erweitern

- \frac{2 ( - 19 x ^{6} - 63 x ^{4} + 3 x ^{2} - 1 )}{( x ^{3} - x ) ^{3}}

- \frac{- 38 x ^{6} - 126 x ^{4} + 6 x ^{2} - 2}{x ^{9} - 3 x ^{7} + 3 x ^{5} - x ^{3}}

Schritte zur Lösung

- \frac{2 ( - 19 x ^{6} - 63 x ^{4} + 3 x ^{2} - 1 )}{( x ^{3} - x ) ^{3}}

(x^{3} - x)^{3} = x^{9} - 3 x^{7} + 3 x^{5} - x^{3}

= - \frac{2 ( - 19 x ^{6} - 63 x ^{4} + 3 x ^{2} - 1 )}{x ^{9} - 3 x ^{7} + 3 x ^{5} - x ^{3}}

Multipliziere aus

2 (- 19 x^{6} - 63 x^{4} + 3 x^{2} - 1) : - 38 x^{6} - 126 x^{4} + 6 x^{2} - 2

= - \frac{- 38 x ^{6} - 126 x ^{4} + 6 x ^{2} - 2}{x ^{9} - 3 x ^{7} + 3 x ^{5} - x ^{3}}

e x p an d x sin (\frac{( x - 3 ) π}{2})

e x p an d (ln (x) + 3) d x

s im pl i f y e^{i (k z - ω t)}

e x p an d 1 + ((3 ln (x)) - \frac{x ^{2}}{24})^{2}

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