erweitern ((s+1)(s+0.5)(s+2))*28

Lösung

erweitern

((s + 1) \cdot (s + 0.5) \cdot (s + 2)) \cdot 28

28 s^{3} + 98 s^{2} + 98 s + 28

Schritte zur Lösung

((s + 1) (s + 0.5) (s + 2)) \cdot 28

Entferne die Klammern:

(a) = a

= (s + 1) (s + 0.5) (s + 2) \cdot 28

= 28 (s + 1) (s + 0.5) (s + 2)

Multipliziere aus

(s + 1) (s + 0.5) : s^{2} + 1.5 s + 0.5

= 28 (s^{2} + 1.5 s + 0.5) (s + 2)

Multipliziere aus

(s^{2} + 1.5 s + 0.5) (s + 2) : s^{3} + 3.5 s^{2} + 3.5 s + 1

= 28 (s^{3} + 3.5 s^{2} + 3.5 s + 1)

Multipliziere aus

28 (s^{3} + 3.5 s^{2} + 3.5 s + 1) : 28 s^{3} + 98 s^{2} + 98 s + 28

= 28 s^{3} + 98 s^{2} + 98 s + 28

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

e x p an d e^{x y} cosh (2 x y) - He a_{0} (y - a_{0}) (y - 2)

e x p an d \frac{18 ( - e - 6 2 - 2 )}{e ^{2}}

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

e x p an d (\frac{1}{x ^{\frac{5}{4}}} + \frac{1}{4 - x ^{\frac{3}{4}}}) \cdot (- y) d y