vereinfachen (sqrt(x-1)-sqrt(x+1))^2

Lösung

vereinfachen

(x - 1 - x + 1)^{2}

2 x - 2 x - 1 x + 1

Schritte zur Lösung

(x - 1 - x + 1)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - 1 - x + 1)^{2} = (x - 1)^{2} - 2 x - 1 x + 1 + (x + 1)^{2}

= (x - 1)^{2} - 2 x - 1 x + 1 + (x + 1)^{2}

Vereinfache

(x - 1)^{2} - 2 x - 1 x + 1 + (x + 1)^{2} : 2 x - 2 x - 1 x + 1

= 2 x - 2 x - 1 x + 1

e x p an d 2 (e^{2} - e)

e x p an d (7 x^{3} + 4 x^{2}) d x

e x p an d \frac{k ^{2} ( k + 1 ) ^{2}}{4} + (k + 1)^{3}

s im pl i f y (sec (x) + csc (x)) (sin (x) + cos (x)) - 2 - cot (x)

e x p an d sin (y) (x + sin (y)) d x + 2 x^{2} cos (y) d y