erweitern (g(x+h)-2-x^2)/h

Lösung

erweitern

\frac{g ( x + h ) - 2 - x ^{2}}{h}

\frac{gx}{h} + g - \frac{2}{h} - \frac{x ^{2}}{h}

Schritte zur Lösung

\frac{g ( x + h ) - 2 - x ^{2}}{h}

Multipliziere aus

g (x + h) - 2 - x^{2} : gx + g h - 2 - x^{2}

= \frac{gx + g h - 2 - x ^{2}}{h}

Wende Bruchregel an:

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

\frac{gx + g h - 2 - x ^{2}}{h} = \frac{gx}{h} + \frac{g h}{h} - \frac{2}{h} - \frac{x ^{2}}{h}

= \frac{gx}{h} + \frac{g h}{h} - \frac{2}{h} - \frac{x ^{2}}{h}

Streiche

\frac{g h}{h} : g

= \frac{gx}{h} + g - \frac{2}{h} - \frac{x ^{2}}{h}

e x p an d - 3 (- 3 x^{2} - 7 x + 4)^{2}

e x p an d x^{2} + (1 - 3) x - 3

e x p an d \frac{4}{( y - 1 ) ( y + 2 )}

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

e x p an d \frac{2 ( 5 n + 2 )}{n}