erweitern e^{(x^2)/2}(x^2-9)

Lösung

erweitern

e^{\frac{x ^{2}}{2}} (x^{2} - 9)

e^{\frac{x ^{2}}{2}} x^{2} - 9 e^{\frac{x ^{2}}{2}}

Schritte zur Lösung

e^{\frac{x ^{2}}{2}} (x^{2} - 9)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{\frac{x ^{2}}{2}}, b = x^{2}, c = 9

= e^{\frac{x ^{2}}{2}} x^{2} - e^{\frac{x ^{2}}{2}} \cdot 9

= e^{\frac{x ^{2}}{2}} x^{2} - 9 e^{\frac{x ^{2}}{2}}

e x p an d (x + 2 x^{2}) (1 + 2 x + 1 + 3 x)

e x p an d sec (x) (1 + tan (x))

e x p an d E (x) (a x^{1} + b x^{2} = x^{2})

e x p an d \frac{( 2 ( n + 1 ) ) !}{2 ^{n + 1} ( n + 1 ) ! ( n + 1 )}

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