erweitern ((2+h)^3)/h

Lösung

erweitern

\frac{( 2 + h ) ^{3}}{h}

\frac{8}{h} + 12 + 6 h + h^{2}

Schritte zur Lösung

\frac{( 2 + h ) ^{3}}{h}

(2 + h)^{3} = 8 + 12 h + 6 h^{2} + h^{3}

= \frac{8 + 12 h + 6 h ^{2} + h ^{3}}{h}

Wende Bruchregel an:

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

\frac{8 + 12 h + 6 h ^{2} + h ^{3}}{h} = \frac{8}{h} + \frac{12 h}{h} + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

= \frac{8}{h} + \frac{12 h}{h} + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

Streiche

\frac{12 h}{h} : 12

= \frac{8}{h} + 12 + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

Streiche

\frac{6 h ^{2}}{h} : 6 h

= \frac{8}{h} + 12 + 6 h + \frac{h ^{3}}{h}

Streiche

\frac{h ^{3}}{h} : h^{2}

= \frac{8}{h} + 12 + 6 h + h^{2}

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

s im pl i f y e^{i (\frac{x}{2} + 5)}

e x p an d \frac{2 ( 2 x + 12 )}{3 ( 3 x + 8 )}

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

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