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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

Multipliziere aus

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

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

s im pl i f y (x + 1) (x - 3)

s im pl i f y (x + 2) (x + 15)

e x p an d ln (x) (x - 1)

e x p an d sin (θ) (cot (θ) + csc (θ))

e x p an d (x + y) (x - y) d x + x (x - 2 y) d y