erweitern 1/8+1/32 (x-1)-21/256 (x-1)^2

Lösung

erweitern

\frac{1}{8} + \frac{1}{32} (x - 1) - \frac{21}{256} (x - 1)^{2}

\frac{3}{256} + \frac{25 x}{128} - \frac{21 x ^{2}}{256}

Schritte zur Lösung

\frac{1}{8} + \frac{1}{32} (x - 1) - \frac{21}{256} (x - 1)^{2}

Schreibe

\frac{1}{32} (x - 1)

um:

\frac{x}{32} - \frac{1}{32}

= \frac{1}{8} + \frac{x}{32} - \frac{1}{32} - \frac{21}{256} (x - 1)^{2}

Schreibe

- \frac{21}{256} (x - 1)^{2}

um:

- \frac{21 x ^{2}}{256} + \frac{21 x}{128} - \frac{21}{256}

= \frac{1}{8} + \frac{x}{32} - \frac{1}{32} - \frac{21 x ^{2}}{256} + \frac{21 x}{128} - \frac{21}{256}

Füge zusammen:

\frac{1}{8} + \frac{x}{32} - \frac{1}{32} - \frac{21 x ^{2}}{256} + \frac{21 x}{128} - \frac{21}{256} : \frac{3}{256} + \frac{25 x}{128} - \frac{21 x ^{2}}{256}

= \frac{3}{256} + \frac{25 x}{128} - \frac{21 x ^{2}}{256}

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