erweitern-(2(4a^2b^2+3))/b

Lösung

erweitern

- \frac{2 ( 4 a ^{2} b ^{2} + 3 )}{b}

- 8 a^{2} b - \frac{6}{b}

Schritte zur Lösung

- \frac{2 ( 4 a ^{2} b ^{2} + 3 )}{b}

Multipliziere aus

2 (4 a^{2} b^{2} + 3) : 8 a^{2} b^{2} + 6

= - \frac{8 a ^{2} b ^{2} + 6}{b}

Wende Bruchregel an:

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

\frac{8 a ^{2} b ^{2} + 6}{b} = - (\frac{8 a ^{2} b ^{2}}{b}) - (\frac{6}{b})

= - (\frac{8 a ^{2} b ^{2}}{b}) - (\frac{6}{b})

Entferne die Klammern:

(a) = a

= - \frac{8 a ^{2} b ^{2}}{b} - \frac{6}{b}

Streiche

\frac{8 a ^{2} b ^{2}}{b} : 8 a^{2} b

= - 8 a^{2} b - \frac{6}{b}

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