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

Lösung

erweitern

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

\frac{x ^{2}}{2} - 4 x + 6

Schritte zur Lösung

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

Schreibe

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

um:

\frac{1}{2} (x^{2} - 8 x + 12)

= \frac{1}{2} (x^{2} - 8 x + 12)

Wende das Distributivgesetz an:

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

\frac{1}{2} (x^{2} - 8 x + 12) = \frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12

= \frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12

Vereinfache

\frac{1}{2} x^{2} + \frac{1}{2} (- 8 x) + \frac{1}{2} \cdot 12 : \frac{x ^{2}}{2} - 4 x + 6

= \frac{x ^{2}}{2} - 4 x + 6

e x p an d \frac{2 ( - r + 45 )}{5}

e x p an d \frac{x + 2}{( x - 1 ) ( x + 1 )}

e x p an d \frac{( 6 + x ) ^{2}}{4}

e x p an d 3 (3 - x^{2}) d x

e x p an d \frac{( 25 - yc ) ^{2}}{2}