vereinfachen (1-((x^2))/2)*(x-((x^3))/6)

Lösung

vereinfachen

(1 - \frac{( x ^{2} )}{2}) \cdot (x - \frac{( x ^{3} )}{6})

\frac{( 2 - x ^{2} ) ( 6 x - x ^{3} )}{12}

Schritte zur Lösung

(1 - \frac{x ^{2}}{2}) (x - \frac{x ^{3}}{6})

Füge zusammen:

1 - \frac{x ^{2}}{2} : \frac{2 - x ^{2}}{2}

= \frac{2 - x ^{2}}{2} (x - \frac{x ^{3}}{6})

Wende Bruchregel an:

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

= \frac{( 2 - x ^{2} ) ( x - \frac{x ^{3}}{6} )}{2}

Vereinfache

(2 - x^{2}) (x - \frac{x ^{3}}{6}) : \frac{( 2 - x ^{2} ) ( x \cdot 6 - x ^{3} )}{6}

= \frac{\frac{( 2 - x ^{2} ) ( x \cdot 6 - x ^{3} )}{6}}{2}

Wende Bruchregel an:

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

= \frac{( 2 - x ^{2} ) ( x \cdot 6 - x ^{3} )}{6 \cdot 2}

Multipliziere die Zahlen:

6 \cdot 2 = 12

= \frac{( 2 - x ^{2} ) ( x \cdot 6 - x ^{3} )}{12}

= \frac{( 2 - x ^{2} ) ( 6 x - x ^{3} )}{12}

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