vereinfachen (c-1)(c+2)(c+sqrt(6))(c-sqrt(6))

Lösung

vereinfachen

(c - 1) (c + 2) (c + 6) (c - 6)

(c - 1) (c + 2) (c^{2} - 6)

Schritte zur Lösung

(c - 1) (c + 2) (c + 6) (c - 6)

Wende Formel zur Differenz von zwei Quadraten an:

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

(c + 6) (c - 6) = c^{2} - (6)^{2}

= (c - 1) (c + 2) (c^{2} - (6)^{2})

Vereinfache

c^{2} - (6)^{2} : c^{2} - 6

= (c - 1) (c + 2) (c^{2} - 6)

e x p an d \frac{7 ( 12 e + 19 e ^{\frac{19}{12}} )}{288}

e x p an d \frac{( - x ^{4} - 4 x ^{2} + 3 x - 6 )}{x ^{4} ( x - 2 )}

e x p an d (6 - a + 3) (6 + a - 3)

e x p an d \frac{1}{( s ^{2} + 1 ) ( s ^{2} + 4 s + 8 )}

s im pl i f y 6 (\frac{x ^{3}}{3} + 2 x^{2} + 4 x) + C