erweitern ((715-p)^2)/(10)

Lösung

erweitern

\frac{( 715 - p ) ^{2}}{10}

\frac{p ^{2}}{10} - 143 p + \frac{102245}{2}

Schritte zur Lösung

\frac{( 715 - p ) ^{2}}{10}

(715 - p)^{2} = 511225 - 1430 p + p^{2}

= \frac{511225 - 1430 p + p ^{2}}{10}

Wende Bruchregel an:

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

\frac{511225 - 1430 p + p ^{2}}{10} = \frac{511225}{10} - \frac{1430 p}{10} + \frac{p ^{2}}{10}

= \frac{511225}{10} - \frac{1430 p}{10} + \frac{p ^{2}}{10}

Streiche

\frac{511225}{10} : \frac{102245}{2}

= \frac{102245}{2} - \frac{1430 p}{10} + \frac{p ^{2}}{10}

Teile die Zahlen:

\frac{1430}{10} = 143

= \frac{102245}{2} - 143 p + \frac{p ^{2}}{10}

Rewrite in standard form

= \frac{p ^{2}}{10} - 143 p + \frac{102245}{2}

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