erweitern (3x^2+5x-6)left(-x^2-2x+12)+(x^2+2x-3)

Lösung

erweitern

(3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

- 3 e l x^{4} f t - 11 e l x^{3} f t + 32 e l x^{2} f t + 72 e l x f t - 72 e l f t + x^{2} + 2 x - 3

Schritte zur Lösung

(3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

= e l f t (3 x^{2} + 5 x - 6) (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

Multipliziere aus

(3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) : - 3 e l x^{4} f t - 11 e l x^{3} f t + 32 e l x^{2} f t + 72 e l x f t - 72 e l f t

= - 3 e l x^{4} f t - 11 e l x^{3} f t + 32 e l x^{2} f t + 72 e l x f t - 72 e l f t + (x^{2} + 2 x - 3)

Entferne die Klammern:

(a) = a

= - 3 e l x^{4} f t - 11 e l x^{3} f t + 32 e l x^{2} f t + 72 e l x f t - 72 e l f t + x^{2} + 2 x - 3

e x p an d e (f + g)

e x p an d (x - 1) \cdot e^{x + 1}

e x p an d e^{3 x} (1 - 3 x)

e x p an d (2 - i 3) (2 - i 3)

e x p an d (3 A + 3 B)^{3}