erweitern u((v-u)/a)

Lösung

erweitern

u (\frac{v - u}{a})

\frac{uv}{a} - \frac{u ^{2}}{a}

Schritte zur Lösung

u (\frac{v - u}{a})

Entferne die Klammern:

(a) = a

= u \frac{v - u}{a}

Multipliziere Brüche:

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

= \frac{( v - u ) u}{a}

Multipliziere aus

(v - u) u : uv - u^{2}

= \frac{uv - u ^{2}}{a}

Wende Bruchregel an:

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

\frac{uv - u ^{2}}{a} = \frac{uv}{a} - \frac{u ^{2}}{a}

= \frac{uv}{a} - \frac{u ^{2}}{a}

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