faktorisieren (1/((a+h)^2)-1/(a^2))/h

Lösung

faktorisieren

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

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

Schritte zur Lösung

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

Füge

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

zusammen:

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

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

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

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

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

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

Wende Bruchregel an:

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

\frac{\frac{h ( h + 2 a )}{a ^{2} ( h + a ) ^{2}}}{h} = \frac{h ( h + 2 a )}{a ^{2} ( h + a ) ^{2} h}

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

Streiche die gemeinsamen Faktoren:

h

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

e x p an d (a + b)^{4}

s im pl i f y 8 + \frac{16}{4}

2 w + 8 = 18

15 x - 82 = 6 x + 152

- 1 < t < 1