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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

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

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

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

Streiche

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

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

Streiche

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

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

e x p an d \frac{3 ( x - 4 )}{( x + 2 ) ( x - 1 )}

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

e x p an d (18.9 j - 7.4 k)^{2} + 34.81

e x p an d \frac{( x + 3 ) ( x - 7 )}{x - 2}

\frac{d}{d t} ((a) (300 + t)^{2})