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

Lösung

vereinfachen

(x + 3) (x - 3) (x - 2)

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

Schritte zur Lösung

(x + 3) (x - 3) (x - 2)

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Vereinfache

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

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

e x p an d 7 (\frac{3}{5} u - \frac{3}{23} v)^{2}

e x p an d e^{9 x} \cdot 9 (7 x^{4} - 9) + 28 x^{3} e^{9 x}

e x p an d \frac{z ^{2} + 7 z + 11}{( z ^{2} + 7 z + 1 ) ( z ^{2} + 7 z + 12 )}

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

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