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

Lösung

erweitern

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

\frac{- 12 x ^{2} + 4}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

Schritte zur Lösung

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

(x^{2} + 1)^{3} = x^{6} + 3 x^{4} + 3 x^{2} + 1

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

Multipliziere aus

4 (- 3 x^{2} + 1) : - 12 x^{2} + 4

= \frac{- 12 x ^{2} + 4}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

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

e x p an d Q (1, - 1)

e x p an d ln (x) (x + 2) (x + 4)

s im pl i f y (p + \frac{0.0000036}{v ^{2}}) (v - 42.8)

e x p an d (cos (4 x) cos (5 x) - sin (4) sin (5 x)) d x