vereinfachen ((14)/((x+h)^2)-(14)/(x^2))/h

Lösung

vereinfachen

\frac{\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}}}{h}

- \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Schritte zur Lösung

\frac{\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}}}{h}

Füge zusammen:

\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}} : \frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Wende Bruchregel an:

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

= \frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Streiche

\frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

6 x - 8 = 4 x

- 3 (4 r - 8) = - 36

s im pl i f y \frac{1}{2 ^{5}}

- 3 (6 - 3 n) = - 63

s im pl i f y \frac{16}{3} - \frac{4 k + 56}{3 k + 15}