erweitern-(a^2(5ab+6ab^2))/(30)

Lösung

erweitern

- \frac{a ^{2} ( 5 ab + 6 a b ^{2} )}{30}

- \frac{a ^{3} b}{6} - \frac{a ^{3} b ^{2}}{5}

Schritte zur Lösung

- \frac{a ^{2} ( 5 ab + 6 a b ^{2} )}{30}

Multipliziere aus

a^{2} (5 ab + 6 a b^{2}) : 5 a^{3} b + 6 a^{3} b^{2}

= - \frac{5 a ^{3} b + 6 a ^{3} b ^{2}}{30}

Wende Bruchregel an:

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

\frac{5 a ^{3} b + 6 a ^{3} b ^{2}}{30} = - (\frac{5 a ^{3} b}{30}) - (\frac{6 a ^{3} b ^{2}}{30})

= - (\frac{5 a ^{3} b}{30}) - (\frac{6 a ^{3} b ^{2}}{30})

Entferne die Klammern:

(a) = a

= - \frac{5 a ^{3} b}{30} - \frac{6 a ^{3} b ^{2}}{30}

Streiche

\frac{5 a ^{3} b}{30} : \frac{a ^{3} b}{6}

= - \frac{a ^{3} b}{6} - \frac{6 a ^{3} b ^{2}}{30}

Streiche

\frac{6 a ^{3} b ^{2}}{30} : \frac{a ^{3} b ^{2}}{5}

= - \frac{a ^{3} b}{6} - \frac{a ^{3} b ^{2}}{5}

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