erweitern (2x^2-5x+6)left(3x^4-5x^3-6x^2+4x-3)

Lösung

erweitern

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

6 e l x^{6} f t - 25 e l x^{5} f t + 31 e l x^{4} f t + 8 e l x^{3} f t - 62 e l x^{2} f t + 39 e l x f t - 18 e l f t

Schritte zur Lösung

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

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

Multipliziere aus

(2 x^{2} - 5 x + 6) (3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3) : 6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18

= l e f t (6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18)

Multipliziere aus

l e f t (6 x^{6} - 25 x^{5} + 31 x^{4} + 8 x^{3} - 62 x^{2} + 39 x - 18) : 6 e l x^{6} f t - 25 e l x^{5} f t + 31 e l x^{4} f t + 8 e l x^{3} f t - 62 e l x^{2} f t + 39 e l x f t - 18 e l f t

= 6 e l x^{6} f t - 25 e l x^{5} f t + 31 e l x^{4} f t + 8 e l x^{3} f t - 62 e l x^{2} f t + 39 e l x f t - 18 e l f t

e x p an d \frac{2 s}{( s ^{2} + 36 ) ( s - 1 )}

\frac{d}{d t} ((w (t, x (w, t), y (w, t), z (w, t))) (x (w, t)^{2} + y (w, t)^{2} + z (w, t)^{2}))

e x p an d lo g_{2} (3 \frac{x + 2}{4 x + 5})

e x p an d \frac{m ^{2} + n ^{2} + 25 + 2 mn - 10 m - 10 n}{( m + n - 2 ) ^{2}}

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