erweitern ((x+1)(x+2))/2

Lösung

erweitern

\frac{( x + 1 ) ( x + 2 )}{2}

\frac{x ^{2}}{2} + \frac{3 x}{2} + 1

Schritte zur Lösung

\frac{( x + 1 ) ( x + 2 )}{2}

Multipliziere aus

(x + 1) (x + 2) : x^{2} + 3 x + 2

= \frac{x ^{2} + 3 x + 2}{2}

Wende Bruchregel an:

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

\frac{x ^{2} + 3 x + 2}{2} = \frac{x ^{2}}{2} + \frac{3 x}{2} + \frac{2}{2}

= \frac{x ^{2}}{2} + \frac{3 x}{2} + \frac{2}{2}

Wende Regel an

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{x ^{2}}{2} + \frac{3 x}{2} + 1

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