vereinfachen (sqrt(x-2)-sqrt(x-5))^2

Lösung

vereinfachen

(x - 2 - x - 5)^{2}

2 x - 2 x - 2 x - 5 - 7

Schritte zur Lösung

(x - 2 - x - 5)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(x - 2 - x - 5)^{2} = (x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2}

= (x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2}

Vereinfache

(x - 2)^{2} - 2 x - 2 x - 5 + (x - 5)^{2} : 2 x - 2 x - 2 x - 5 - 7

= 2 x - 2 x - 2 x - 5 - 7

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

e x p an d y^{'} (x) - (x - 1) y^{2} + (1 - 2 x) y + x

e x p an d \frac{x ^{2} + x - 25}{( x + 1 ) ^{2} ( x ^{2} + 4 )}

e x p an d lo g_{10} (8) x^{3}

e x p an d 4 (sin (\frac{19 π}{90}) + cos (\frac{17 π}{45})) e c^{8}