vereinfachen (sqrt(x+3)-sqrt(x-3))^2

Lösung

vereinfachen

(x + 3 - x - 3)^{2}

2 x - 2 x + 3 x - 3

Schritte zur Lösung

(x + 3 - x - 3)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(x + 3 - x - 3)^{2} = (x + 3)^{2} - 2 x + 3 x - 3 + (x - 3)^{2}

= (x + 3)^{2} - 2 x + 3 x - 3 + (x - 3)^{2}

Vereinfache

(x + 3)^{2} - 2 x + 3 x - 3 + (x - 3)^{2} : 2 x - 2 x + 3 x - 3

= 2 x - 2 x + 3 x - 3

e x p an d (28460) (x - 38) e^{- \frac{x}{10} - 0.5}

e x p an d \frac{a ( 1 - e ^{2} )}{1 - e}

e x p an d \frac{1}{s ^{2} \cdot ( s ^{2} + s + 15 )}

e x p an d \frac{( 33 x + 21 )}{( x ^{3} + 1 ) ( x - 1 )}

e x p an d \frac{x ^{2} - 2 x - 3}{( x - 1 ) ^{2}}