erweitern ((-2x+5)/3)^2

Lösung

erweitern

(\frac{- 2 x + 5}{3})^{2}

\frac{4 x ^{2}}{9} - \frac{20 x}{9} + \frac{25}{9}

Schritte zur Lösung

(\frac{- 2 x + 5}{3})^{2}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 2 x + 5 ) ^{2}}{3 ^{2}}

(- 2 x + 5)^{2} = 4 x^{2} - 20 x + 25

= \frac{4 x ^{2} - 20 x + 25}{3 ^{2}}

3^{2} = 9

= \frac{4 x ^{2} - 20 x + 25}{9}

Wende Bruchregel an:

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

\frac{4 x ^{2} - 20 x + 25}{9} = \frac{4 x ^{2}}{9} - \frac{20 x}{9} + \frac{25}{9}

= \frac{4 x ^{2}}{9} - \frac{20 x}{9} + \frac{25}{9}

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s im pl i f y (4 x + 3 y) (x - 3 y)

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