erweitern (sqrt(1-2(a+h)^2)-sqrt(1-2a^2))/h

Lösung

erweitern

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

\frac{1 - 2 a ^{2} - 4 ah - 2 h ^{2}}{h} - \frac{1 - 2 a ^{2}}{h}

Schritte zur Lösung

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

1 - 2 (a + h)^{2} = 1 - 2 a^{2} - 4 ah - 2 h^{2}

= \frac{- 2 h ^{2} - 4 ah + 1 - 2 a ^{2} - - 2 a ^{2} + 1}{h}

Wende Bruchregel an:

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

\frac{1 - 2 a ^{2} - 4 ah - 2 h ^{2} - 1 - 2 a ^{2}}{h} = \frac{1 - 2 a ^{2} - 4 ah - 2 h ^{2}}{h} - \frac{1 - 2 a ^{2}}{h}

= \frac{- 2 h ^{2} - 4 ah + 1 - 2 a ^{2}}{h} - \frac{- 2 a ^{2} + 1}{h}

s im pl i f y (f \circ g) (\frac{f}{- x ^{2}} + 1) (\frac{g}{- x} + 1)

e x p an d 4 [(6 y^{8} - 2 y^{5} + 4 y^{3} - y + 8) (- 9 x^{3} + 7 x^{2} - 2 x + 5)]

e x p an d (4 + 4 sin (θ)) \cdot 4 cos (θ)

e x p an d \frac{12 t ^{2} ( 5 - t )}{625}

e x p an d ((4 x - x^{2}), (4 - x)^{2}) \cdot (- 1, 4 - 2 x)