erweitern ((x+h)^2-5(x+h)+6)/h

Lösung

erweitern

\frac{( x + h ) ^{2} - 5 ( x + h ) + 6}{h}

\frac{x ^{2}}{h} + 2 x + h - \frac{5 x}{h} - 5 + \frac{6}{h}

Schritte zur Lösung

\frac{( x + h ) ^{2} - 5 ( x + h ) + 6}{h}

Multipliziere aus

(x + h)^{2} - 5 (x + h) + 6 : x^{2} + 2 x h + h^{2} - 5 x - 5 h + 6

= \frac{x ^{2} + 2 x h + h ^{2} - 5 x - 5 h + 6}{h}

Wende Bruchregel an:

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

\frac{x ^{2} + 2 x h + h ^{2} - 5 x - 5 h + 6}{h} = \frac{x ^{2}}{h} + \frac{2 x h}{h} + \frac{h ^{2}}{h} - \frac{5 x}{h} - \frac{5 h}{h} + \frac{6}{h}

= \frac{x ^{2}}{h} + \frac{2 x h}{h} + \frac{h ^{2}}{h} - \frac{5 x}{h} - \frac{5 h}{h} + \frac{6}{h}

Streiche

\frac{2 x h}{h} : 2 x

= \frac{x ^{2}}{h} + 2 x + \frac{h ^{2}}{h} - \frac{5 x}{h} - \frac{5 h}{h} + \frac{6}{h}

Streiche

\frac{h ^{2}}{h} : h

= \frac{x ^{2}}{h} + 2 x + h - \frac{5 x}{h} - \frac{5 h}{h} + \frac{6}{h}

Streiche

\frac{5 h}{h} : 5

= \frac{x ^{2}}{h} + 2 x + h - \frac{5 x}{h} - 5 + \frac{6}{h}

e x p an d \frac{( e ^{8} - 1 ) ^{2}}{4 e ^{8}} + 1

e x p an d e^{t} u (t - 1)

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

e x p an d x + 2 y - 4.2 x + y - 5

e x p an d A (3, 5) y B (5, - 3)