erweitern (4(x+h-3))/h

Lösung

erweitern

\frac{4 ( x + h - 3 )}{h}

\frac{4 x}{h} + 4 - \frac{12}{h}

Schritte zur Lösung

\frac{4 ( x + h - 3 )}{h}

Multipliziere aus

4 (x + h - 3) : 4 x + 4 h - 12

= \frac{4 x + 4 h - 12}{h}

Wende Bruchregel an:

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

\frac{4 x + 4 h - 12}{h} = \frac{4 x}{h} + \frac{4 h}{h} - \frac{12}{h}

= \frac{4 x}{h} + \frac{4 h}{h} - \frac{12}{h}

Streiche

\frac{4 h}{h} : 4

= \frac{4 x}{h} + 4 - \frac{12}{h}

\frac{d}{d y} ((x) (x^{4} y^{3} + 8 x^{2} y))

e x p an d 3 (x - y)^{2} (1 - \frac{d y}{d x})

e x p an d \frac{x}{( x - 1 ) ( x - 0.7 + 0.9 j ) ( z - 0.7 - 0.9 j )}

e x p an d x ((x + 1) \cdot (x + 2))

e x p an d \frac{( s + 5 )}{s ( s ^{2} + 2 s + 10 )}