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

Lösung

erweitern

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

\frac{- 18 x ^{2} + 6}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

Schritte zur Lösung

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

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

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

Multipliziere aus

6 (- 3 x^{2} + 1) : - 18 x^{2} + 6

= \frac{- 18 x ^{2} + 6}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

e x p an d \frac{3 ( 2 ^{50} - 1 )}{2 ^{50}}

e x p an d \frac{2 x y}{2 x}

e x p an d cos (x) (sin (x) + 4)

e x p an d \frac{1}{2} (465 + \frac{1}{2} ln (8 + 65))

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