vereinfachen (x-2)(x-5)(x-sqrt(3))(x+sqrt(3))

Lösung

vereinfachen

(x - 2) (x - 5) (x - 3) (x + 3)

(x - 2) (x - 5) (x^{2} - 3)

Schritte zur Lösung

(x - 2) (x - 5) (x - 3) (x + 3)

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) (x - 5) (x^{2} - (3)^{2})

Vereinfache

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

= (x - 2) (x - 5) (x^{2} - 3)

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

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

s im pl i f y (a - 2) (a + 2)

e x p an d (cot (x) + 1)^{2}

e x p an d - \frac{4 ( - 3 s ^{2} + 12 s - 8 )}{( s ^{2} - 4 s + 8 ) ^{3}}