vereinfachen (sqrt(x-13)-sqrt(x))^2

Lösung

vereinfachen

(x - 13 - x)^{2}

2 x - 2 x x - 13 - 13

Schritte zur Lösung

(x - 13 - x)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(x - 13 - x)^{2} = (x - 13)^{2} - 2 x - 13 x + (x)^{2}

= (x - 13)^{2} - 2 x - 13 x + (x)^{2}

Vereinfache

(x - 13)^{2} - 2 x - 13 x + (x)^{2} : 2 x - 2 x x - 13 - 13

= 2 x - 2 x x - 13 - 13

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