erweitern (5832x(-9x^2+1))/((1+9x^2)^4)

Lösung

erweitern

\frac{5832 x ( - 9 x ^{2} + 1 )}{( 1 + 9 x ^{2} ) ^{4}}

\frac{- 52488 x ^{3} + 5832 x}{1 + 36 x ^{2} + 486 x ^{4} + 2916 x ^{6} + 6561 x ^{8}}

Schritte zur Lösung

\frac{5832 x ( - 9 x ^{2} + 1 )}{( 1 + 9 x ^{2} ) ^{4}}

(1 + 9 x^{2})^{4} = 1 + 36 x^{2} + 486 x^{4} + 2916 x^{6} + 6561 x^{8}

= \frac{5832 x ( - 9 x ^{2} + 1 )}{1 + 36 x ^{2} + 486 x ^{4} + 2916 x ^{6} + 6561 x ^{8}}

Multipliziere aus

5832 x (- 9 x^{2} + 1) : - 52488 x^{3} + 5832 x

= \frac{- 52488 x ^{3} + 5832 x}{1 + 36 x ^{2} + 486 x ^{4} + 2916 x ^{6} + 6561 x ^{8}}

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

e x p an d (sin (x) + 3) (sin (x) - 4)

e x p an d 2 (4 - π)

e x p an d \frac{6 ( 4 x ^{6} - 6 x ^{3} + 4 x ^{2} - 5 x + 6 )}{( 3 x - 1 )}

e x p an d (x - 4) (x - \frac{5}{2})