erweitern (3x^4-x^3-2x^2+3x-2)left(x^3+2x^2-4x+1)

Lösung

erweitern

(3 x^{4} - x^{3} - 2 x^{2} + 3 x - 2) l e f t (x^{3} + 2 x^{2} - 4 x + 1)

3 e l x^{7} f t + 5 e l x^{6} f t - 16 e l x^{5} f t + 6 e l x^{4} f t + 11 e l x^{3} f t - 18 e l x^{2} f t + 11 e l x f t - 2 e l f t

Schritte zur Lösung

(3 x^{4} - x^{3} - 2 x^{2} + 3 x - 2) l e f t (x^{3} + 2 x^{2} - 4 x + 1)

= e l f t (3 x^{4} - x^{3} - 2 x^{2} + 3 x - 2) (x^{3} + 2 x^{2} - 4 x + 1)

Multipliziere aus

(3 x^{4} - x^{3} - 2 x^{2} + 3 x - 2) (x^{3} + 2 x^{2} - 4 x + 1) : 3 x^{7} + 5 x^{6} - 16 x^{5} + 6 x^{4} + 11 x^{3} - 18 x^{2} + 11 x - 2

= l e f t (3 x^{7} + 5 x^{6} - 16 x^{5} + 6 x^{4} + 11 x^{3} - 18 x^{2} + 11 x - 2)

Multipliziere aus

l e f t (3 x^{7} + 5 x^{6} - 16 x^{5} + 6 x^{4} + 11 x^{3} - 18 x^{2} + 11 x - 2) : 3 e l x^{7} f t + 5 e l x^{6} f t - 16 e l x^{5} f t + 6 e l x^{4} f t + 11 e l x^{3} f t - 18 e l x^{2} f t + 11 e l x f t - 2 e l f t

= 3 e l x^{7} f t + 5 e l x^{6} f t - 16 e l x^{5} f t + 6 e l x^{4} f t + 11 e l x^{3} f t - 18 e l x^{2} f t + 11 e l x f t - 2 e l f t

\frac{\partial}{\partial y} ((z) (x^{2} + 3 x y + y^{2}))

e x p an d (a e - b d)^{2} + (a f - c d)^{2} + (b f - ce)^{2}

e x p an d (A + B = 2,) (- 2 A + C = 3)

e x p an d \frac{5 ( 3 b ^{2} + 4 b - 6 )}{4}

s im pl i f y (x - x - 1)^{2}