erweitern (x^2+y^2)e^{-x^2-4y^2}

Lösung

erweitern

(x^{2} + y^{2}) e^{- x^{2} - 4 y^{2}}

e^{- x^{2} - 4 y^{2}} x^{2} + e^{- x^{2} - 4 y^{2}} y^{2}

Schritte zur Lösung

(x^{2} + y^{2}) e^{- x^{2} - 4 y^{2}}

= e^{- x^{2} - 4 y^{2}} (x^{2} + y^{2})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = e^{- x^{2} - 4 y^{2}}, b = x^{2}, c = y^{2}

= e^{- x^{2} - 4 y^{2}} x^{2} + e^{- x^{2} - 4 y^{2}} y^{2}

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

e x p an d (x + 5 + 2 i) (x + 5 - 2 i) (x + 1 - 3 i) (x + 1 + 3 i)

e x p an d - \frac{4}{( 2 s + 1 ) ( s + 2 )}

e x p an d (x^{3} - (\frac{3}{x}) + 5) (x^{2} + 4 x + 7)

e x p an d \frac{( 3 - x ) d x}{x ^{3} + 4 x ^{2} + 3 x}