erweitern ([5(x-h)]-[5x^2])/h

Lösung

erweitern

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

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

Schritte zur Lösung

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

Entferne die Klammern:

(a) = a

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

Multipliziere aus

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

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

Wende Bruchregel an:

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

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

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

Streiche

\frac{5 h}{h} : 5

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

e x p an d (2^{6})^{x + 3}

e x p an d d x (x ln (x) - x)

e x p an d \frac{f ( x + h ) - x + 6}{h}

e x p an d - \frac{( x - 20 ) ^{2}}{40}

e x p an d sin (5 (x - \frac{5 π}{7}))