erweitern (10(X-1))/(X^2)

Lösung

erweitern

\frac{10 ( X - 1 )}{X ^{2}}

\frac{10}{X} - \frac{10}{X ^{2}}

Schritte zur Lösung

\frac{10 ( X - 1 )}{X ^{2}}

Multipliziere aus

10 (X - 1) : 10 X - 10

= \frac{10 X - 10}{X ^{2}}

Wende Bruchregel an:

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

\frac{10 X - 10}{X ^{2}} = \frac{10 X}{X ^{2}} - \frac{10}{X ^{2}}

= \frac{10 X}{X ^{2}} - \frac{10}{X ^{2}}

Streiche

\frac{10 X}{X ^{2}} : \frac{10}{X}

= \frac{10}{X} - \frac{10}{X ^{2}}

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