erweitern ((16x^6-9)^2)/(576x^6)

Lösung

erweitern

\frac{( 16 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

\frac{4 x ^{6}}{9} - \frac{1}{2} + \frac{9}{64 x ^{6}}

Schritte zur Lösung

\frac{( 16 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

(16 x^{6} - 9)^{2} = 256 x^{12} - 288 x^{6} + 81

= \frac{256 x ^{12} - 288 x ^{6} + 81}{576 x ^{6}}

Wende Bruchregel an:

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

\frac{256 x ^{12} - 288 x ^{6} + 81}{576 x ^{6}} = \frac{256 x ^{12}}{576 x ^{6}} - \frac{288 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

= \frac{256 x ^{12}}{576 x ^{6}} - \frac{288 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

Streiche

\frac{256 x ^{12}}{576 x ^{6}} : \frac{4 x ^{6}}{9}

= \frac{4 x ^{6}}{9} - \frac{288 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

Streiche

\frac{288 x ^{6}}{576 x ^{6}} : \frac{1}{2}

= \frac{4 x ^{6}}{9} - \frac{1}{2} + \frac{81}{576 x ^{6}}

Streiche

\frac{81}{576 x ^{6}} : \frac{9}{64 x ^{6}}

= \frac{4 x ^{6}}{9} - \frac{1}{2} + \frac{9}{64 x ^{6}}

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