erweitern ,2(x+1)(x-1)(x-2)

Lösung

erweitern

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

2 x^{3} - 4 x^{2} - 2 x + 4

Schritte zur Lösung

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

Schreibe

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

um:

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

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

Apply FOIL method

(x^{2} - 1) (x - 2) : x^{3} - 2 x^{2} - x + 2

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

Setze Klammern

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

Vereinfache

2 x^{3} + 2 (- 2 x^{2}) + 2 (- x) + 2 \cdot 2 : 2 x^{3} - 4 x^{2} - 2 x + 4

= 2 x^{3} - 4 x^{2} - 2 x + 4

e x p an d (x = 0, y = 0) (x = 2, y = - 4)

e x p an d \frac{1 - e ^{- 2 s}}{s ( s ^{2} - 3 )}

e x p an d (1, 2, - 2) l e f t (1, - 1, - 1)

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

e x p an d (1 + sin (x))^{2} - cos^{2} (x)