erweitern 2xe^{y^2-x^2}-2xe^{y^2-x^2}(x^2+y^2)

Lösung

erweitern

2 x e^{y^{2} - x^{2}} - 2 x e^{y^{2} - x^{2}} (x^{2} + y^{2})

2 x e^{y^{2} - x^{2}} - 2 e^{y^{2} - x^{2}} x^{3} - 2 e^{y^{2} - x^{2}} x y^{2}

Schritte zur Lösung

2 x e^{y^{2} - x^{2}} - 2 x e^{y^{2} - x^{2}} (x^{2} + y^{2})

= 2 e^{y^{2} - x^{2}} x - 2 e^{y^{2} - x^{2}} x (x^{2} + y^{2})

Multipliziere aus

- 2 x e^{y^{2} - x^{2}} (x^{2} + y^{2}) : - 2 e^{y^{2} - x^{2}} x^{3} - 2 e^{y^{2} - x^{2}} x y^{2}

= 2 x e^{y^{2} - x^{2}} - 2 e^{y^{2} - x^{2}} x^{3} - 2 e^{y^{2} - x^{2}} x y^{2}

e x p an d (x^{2} - x^{4},) 2 + (y^{2} - y^{2}) 2

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

e x p an d \frac{c ( - 2 b d + 2 b c + d ^{2} - c ^{2} )}{2 d}

e x p an d e^{- t} (D^{2} + 3) - D sin (2 t)

e x p an d (2 x - 8) d x