erweitern ((3p-2)^2)/9

Lösung

erweitern

\frac{( 3 p - 2 ) ^{2}}{9}

p^{2} - \frac{4 p}{3} + \frac{4}{9}

Schritte zur Lösung

\frac{( 3 p - 2 ) ^{2}}{9}

(3 p - 2)^{2} = 9 p^{2} - 12 p + 4

= \frac{9 p ^{2} - 12 p + 4}{9}

Wende Bruchregel an:

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

\frac{9 p ^{2} - 12 p + 4}{9} = \frac{9 p ^{2}}{9} - \frac{12 p}{9} + \frac{4}{9}

= \frac{9 p ^{2}}{9} - \frac{12 p}{9} + \frac{4}{9}

Teile die Zahlen:

\frac{9}{9} = 1

= p^{2} - \frac{12 p}{9} + \frac{4}{9}

Streiche

\frac{12 p}{9} : \frac{4 p}{3}

= p^{2} - \frac{4 p}{3} + \frac{4}{9}

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

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e x p an d \frac{3 ( 2 ^{50} - 1 )}{2 ^{50}}