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

Lösung

erweitern

- \frac{1}{6} (x - 1) (x - 2)

- \frac{x ^{2}}{6} + \frac{x}{2} - \frac{1}{3}

Schritte zur Lösung

- \frac{1}{6} (x - 1) (x - 2)

Schreibe

- \frac{1}{6} (x - 1) (x - 2)

um:

- \frac{1}{6} (x^{2} - 3 x + 2)

= - \frac{1}{6} (x^{2} - 3 x + 2)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

- \frac{1}{6} (x^{2} - 3 x + 2) = - \frac{1}{6} x^{2} - \frac{1}{6} (- 3 x) - \frac{1}{6} \cdot 2

= - \frac{1}{6} x^{2} - \frac{1}{6} (- 3 x) - \frac{1}{6} \cdot 2

Vereinfache

- \frac{1}{6} x^{2} - \frac{1}{6} (- 3 x) - \frac{1}{6} \cdot 2 : - \frac{x ^{2}}{6} + \frac{x}{2} - \frac{1}{3}

= - \frac{x ^{2}}{6} + \frac{x}{2} - \frac{1}{3}

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