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erweitern ((8-x)^2)/4

Lösung

erweitern

\frac{( 8 - x ) ^{2}}{4}

\frac{x ^{2}}{4} - 4 x + 16

Schritte zur Lösung

\frac{( 8 - x ) ^{2}}{4}

(8 - x)^{2} = 64 - 16 x + x^{2}

= \frac{64 - 16 x + x ^{2}}{4}

Wende Bruchregel an:

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

\frac{64 - 16 x + x ^{2}}{4} = \frac{64}{4} - \frac{16 x}{4} + \frac{x ^{2}}{4}

= \frac{64}{4} - \frac{16 x}{4} + \frac{x ^{2}}{4}

Teile die Zahlen:

\frac{64}{4} = 16

= 16 - \frac{16 x}{4} + \frac{x ^{2}}{4}

Teile die Zahlen:

\frac{16}{4} = 4

= 16 - 4 x + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} - 4 x + 16

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