vereinfachen (1/((x+h)^2)-1/(x^2))/h

Lösung

vereinfachen

\frac{\frac{1}{( x + h ) ^{2}} - \frac{1}{x ^{2}}}{h}

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

Schritte zur Lösung

\frac{\frac{1}{( x + h ) ^{2}} - \frac{1}{x ^{2}}}{h}

Füge zusammen:

\frac{1}{( x + h ) ^{2}} - \frac{1}{x ^{2}} : \frac{- 2 x h - h ^{2}}{x ^{2} ( x + h ) ^{2}}

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

Wende Bruchregel an:

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

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

Streiche

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

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

f a c t or 14 m^{4} - 75 m^{2} - 11

s im pl i f y \frac{2}{3} (3 c - 6)

4 x^{2} + 8 = 196

3 x^{2} = 8

s im pl i f y \frac{- 3 + 5}{2}