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

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Apply Difference of Two Squares

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

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

Wende Exponentenregel an:

aa = a^{2}

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

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

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

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

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

e x p an d \frac{9 x ^{2} - 4 x + 5}{( 3 x + 1 ) ( 3 x - 1 ) ( 2 x - 3 )}

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