erweitern (pi^2)/6 (x-1/2)

Lösung

erweitern

\frac{π ^{2}}{6} (x - \frac{1}{2})

\frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

Schritte zur Lösung

\frac{π ^{2}}{6} (x - \frac{1}{2})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = \frac{π ^{2}}{6}, b = x, c = \frac{1}{2}

= \frac{π ^{2}}{6} x - \frac{π ^{2}}{6} \cdot \frac{1}{2}

= \frac{π ^{2}}{6} x - \frac{1}{2} \cdot \frac{π ^{2}}{6}

Vereinfache

\frac{π ^{2}}{6} x - \frac{1}{2} \cdot \frac{π ^{2}}{6} : \frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

= \frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

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