erweitern (2xy)(cos(t))+(x^2-2y)(e^t)

Lösung

erweitern

(2 x y) (cos (t)) + (x^{2} - 2 y) (e^{t})

2 x y cos (t) + e^{t} x^{2} - 2 e^{t} y

Schritte zur Lösung

(2 x y) (cos (t)) + (x^{2} - 2 y) (e^{t})

= (cos (t)) (2 x y) + (e^{t}) (x^{2} - 2 y)

Multipliziere aus

(e^{t}) (x^{2} - 2 y) : e^{t} x^{2} - 2 e^{t} y

= (2 x y) (cos (t)) + e^{t} x^{2} - 2 e^{t} y

Entferne die Klammern:

(a) = a

= 2 x y cos (t) + e^{t} x^{2} - 2 e^{t} y

e x p an d (x y - y) (x y + x)

e x p an d (2 - 4 cos (x))^{2}

e x p an d 3 X^{2} + 1 X - 2

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

e x p an d sin^{2} (k x) + sin ((2 k + 1) x) sin (x)