erweitern ((1+c)^2)/c

Lösung

erweitern

\frac{( 1 + c ) ^{2}}{c}

\frac{1}{c} + 2 + c

Schritte zur Lösung

\frac{( 1 + c ) ^{2}}{c}

(1 + c)^{2} = 1 + 2 c + c^{2}

= \frac{1 + 2 c + c ^{2}}{c}

Wende Bruchregel an:

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

\frac{1 + 2 c + c ^{2}}{c} = \frac{1}{c} + \frac{2 c}{c} + \frac{c ^{2}}{c}

= \frac{1}{c} + \frac{2 c}{c} + \frac{c ^{2}}{c}

Streiche

\frac{2 c}{c} : 2

= \frac{1}{c} + 2 + \frac{c ^{2}}{c}

Streiche

\frac{c ^{2}}{c} : c

= \frac{1}{c} + 2 + c

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