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

Lösung

erweitern

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

- \frac{- 6 x ^{2} + 8}{x ^{6} + 12 x ^{4} + 48 x ^{2} + 64}

Schritte zur Lösung

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

(x^{2} + 4)^{3} = x^{6} + 12 x^{4} + 48 x^{2} + 64

= - \frac{2 ( - 3 x ^{2} + 4 )}{x ^{6} + 12 x ^{4} + 48 x ^{2} + 64}

Multipliziere aus

2 (- 3 x^{2} + 4) : - 6 x^{2} + 8

= - \frac{- 6 x ^{2} + 8}{x ^{6} + 12 x ^{4} + 48 x ^{2} + 64}

e x p an d \frac{s ( s + 5 )}{( ( s ^{2} + 1 ) ( s ^{2} + 6 s + 11 ) )}

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

\frac{d ^{2}}{d y d x} ((f (y, x)) (x^{2} + 5 x y + sin (x) + 7 e^{x}))

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

e x p an d (3 x + 9 y = 4,) (2 x - y = 2)