vereinfachen (x-1)(x+2)(x-sqrt(10))(x+sqrt(10))

Lösung

vereinfachen

(x - 1) (x + 2) (x - 10) (x + 10)

(x - 1) (x + 2) (x^{2} - 10)

Schritte zur Lösung

(x - 1) (x + 2) (x - 10) (x + 10)

Wende Formel zur Differenz von zwei Quadraten an:

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

(x - 10) (x + 10) = x^{2} - (10)^{2}

= (x - 1) (x + 2) (x^{2} - (10)^{2})

Vereinfache

x^{2} - (10)^{2} : x^{2} - 10

= (x - 1) (x + 2) (x^{2} - 10)

e x p an d (3 m + \frac{12}{m ^{2}} = \frac{3}{2} m - \frac{1}{2} m^{2}) m^{2}

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

s im pl i f y m (m - n)

e x p an d (x + 3) 4 (x - 2 + 7) (x + 2 - 7)

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