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

Lösung

erweitern

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

- \frac{2 x ^{2} + 8 x - 8}{x ^{4} + 8 x ^{2} + 16}

Schritte zur Lösung

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

(x^{2} + 4)^{2} = x^{4} + 8 x^{2} + 16

= - \frac{2 ( x ^{2} + 4 x - 4 )}{x ^{4} + 8 x ^{2} + 16}

Multipliziere aus

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

= - \frac{2 x ^{2} + 8 x - 8}{x ^{4} + 8 x ^{2} + 16}

e x p an d 2 y e^{x y} x + (x^{2} + y^{2}) (e^{x y} x y + e^{x y})

e x p an d (a cos (θ) + b sin (θ)) (a sin (θ) + b cos (θ))

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

e x p an d (3 + 3 cos (θ))^{3}

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