erweitern (186624x(-36x^2+1))/((1+36x^2)^4)

Lösung

erweitern

\frac{186624 x ( - 36 x ^{2} + 1 )}{( 1 + 36 x ^{2} ) ^{4}}

\frac{- 6718464 x ^{3} + 186624 x}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}

Schritte zur Lösung

\frac{186624 x ( - 36 x ^{2} + 1 )}{( 1 + 36 x ^{2} ) ^{4}}

(1 + 36 x^{2})^{4} = 1 + 144 x^{2} + 7776 x^{4} + 186624 x^{6} + 1679616 x^{8}

= \frac{186624 x ( - 36 x ^{2} + 1 )}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}

Multipliziere aus

186624 x (- 36 x^{2} + 1) : - 6718464 x^{3} + 186624 x

= \frac{- 6718464 x ^{3} + 186624 x}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}

e x p an d a (1 - cos (θ))

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

\frac{d}{d v} ((p) (p + \frac{1.3}{v ^{2}}) (v - 9))

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

s im pl i f y (cos (x)) (2 + cos (x))