erweitern ((y+1)e^t-x)^2

Lösung

erweitern

((y + 1) e^{t} - x)^{2}

e^{2 t} y^{2} + 2 e^{2 t} y - 2 e^{t} y x + e^{2 t} - 2 e^{t} x + x^{2}

Schritte zur Lösung

((y + 1) e^{t} - x)^{2}

Multipliziere aus

(y + 1) e^{t} - x : e^{t} y + e^{t} - x

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

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

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

Multipliziere aus

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

= e^{2 t} y^{2} + 2 e^{2 t} y - 2 e^{t} y x + e^{2 t} - 2 e^{t} x + x^{2}

e x p an d (1, - 2) \cdot (x, y)

e x p an d (f \circ g) (x - y)

e x p an d 16 (4 π - 3)

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

e x p an d (2 x + 3) \circ (x^{2} - 2 x + 4)