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

e x p an d ln (a + e^{(x + y + z)^{2}})

e x p an d (2 - 6) a + (3 - 6) b

e x p an d \frac{2 ( 2 x - 3 )}{5}

e x p an d (f \circ g) x^{2} (4 x - 7)

e x p an d (f (x) = 5 x - 2^{3}) f (- 4)