erweitern ((34x-442)^2)/(28561)

Lösung

erweitern

\frac{( 34 x - 442 ) ^{2}}{28561}

\frac{1156 x ^{2}}{28561} - \frac{2312 x}{2197} + \frac{1156}{169}

Schritte zur Lösung

\frac{( 34 x - 442 ) ^{2}}{28561}

(34 x - 442)^{2} = 1156 x^{2} - 30056 x + 195364

= \frac{1156 x ^{2} - 30056 x + 195364}{28561}

Wende Bruchregel an:

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

\frac{1156 x ^{2} - 30056 x + 195364}{28561} = \frac{1156 x ^{2}}{28561} - \frac{30056 x}{28561} + \frac{195364}{28561}

= \frac{1156 x ^{2}}{28561} - \frac{30056 x}{28561} + \frac{195364}{28561}

Streiche

\frac{30056 x}{28561} : \frac{2312 x}{2197}

= \frac{1156 x ^{2}}{28561} - \frac{2312 x}{2197} + \frac{195364}{28561}

Streiche

\frac{195364}{28561} : \frac{1156}{169}

= \frac{1156 x ^{2}}{28561} - \frac{2312 x}{2197} + \frac{1156}{169}

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