vereinfachen (ax^2+bx+c)e^{-x/6}

Lösung

vereinfachen

(a x^{2} + b x + c) e^{- \frac{x}{6}}

\frac{a x ^{2} + b x + c}{e ^{\frac{x}{6}}}

Schritte zur Lösung

(a x^{2} + b x + c) e^{- \frac{x}{6}}

Wende Exponentenregel an:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{\frac{x}{6}}} (a x^{2} + b x + c)

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( a x ^{2} + b x + c )}{e ^{\frac{x}{6}}}

1 \cdot (a x^{2} + b x + c) = a x^{2} + b x + c

= \frac{a x ^{2} + b x + c}{e ^{\frac{x}{6}}}

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