erweitern (F(2)=5(2)^3-2(2)^2+3x-1)(x-1)(x+3)

Lösung

erweitern

(F (2) = 5 (2)^{3} - 2 (2)^{2} + 3 x - 1) (x - 1) (x + 3)

F (2) = - 3 x^{2} + 13 x + 147

Schritte zur Lösung

(F (2) = 5 (2)^{3} - 2 (2)^{2} + 3 x - 1) (x - 1) (x + 3)

= ((2)^{3} \cdot 5 = F (2) - (2)^{2} \cdot 2 + 3 x - 1) (x - 1) (x + 3)

Multipliziere aus

(F (2) = 5 (2)^{3} - 2 (2)^{2} + 3 x - 1) (x - 1) : F (2) = 3 x^{2} - 12 x + 49

= (F (2) = 3 x^{2} - 12 x + 49) (x + 3)

Multipliziere aus

(F (2) = 3 x^{2} - 12 x + 49) (x + 3) : F (2) = - 3 x^{2} + 13 x + 147

F (2) = - 3 x^{2} + 13 x + 147

s im pl i f y (x - 6 + 7) (x - 6 - 7)

e x p an d (8 x^{2} + 4 x 4 x^{2} - 1 - 1) (1 - x)

e x p an d \frac{3 ( 4 x + 1 )}{2}

e x p an d (x^{2} - 1) \cdot ln (x + 3)

e x p an d sin (2 x + x)