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

Lösung

erweitern

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

e l x^{6} f t - 2 e l x^{5} f t + e l x^{4} f t + 4 e l x^{3} f t - 4 e l x^{2} f t - 4 e l x f t + 6 e l f t

Schritte zur Lösung

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

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

Multipliziere aus

(x^{4} - 2 x^{2} + 2) (x^{2} - 2 x + 3) : x^{6} - 2 x^{5} + x^{4} + 4 x^{3} - 4 x^{2} - 4 x + 6

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

Multipliziere aus

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

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

s im pl i f y δ (x - 2)

e x p an d (2 t - 3) e^{\frac{( t + 2 )}{3}}

e x p an d \frac{2 n !}{( 2 ( n + 1 ) ) !}

s im pl i f y (\frac{1}{4} - 3 m) (3 m + \frac{1}{4})

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