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

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Vereinfache

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

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

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

e x p an d P (6, - 2) y Q (0, 6)

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

e x p an d \frac{10}{( 1 - 6 x ) ^{2}}

e x p an d (lo g_{10} (x) - 1) (lo g_{10} (y) + 3)