erweitern (sqrt(2)x^2-pixy^3)^2

Lösung

erweitern

(2 x^{2} - π x y^{3})^{2}

2 x^{4} - 22 π x^{3} y^{3} + π^{2} x^{2} y^{6}

Schritte zur Lösung

(2 x^{2} - π x y^{3})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 2 x^{2}, b = π x y^{3}

= (2 x^{2})^{2} - 22 x^{2} π x y^{3} + (π x y^{3})^{2}

Vereinfache

(2 x^{2})^{2} - 22 x^{2} π x y^{3} + (π x y^{3})^{2} : 2 x^{4} - 22 π x^{3} y^{3} + π^{2} x^{2} y^{6}

= 2 x^{4} - 22 π x^{3} y^{3} + π^{2} x^{2} y^{6}

e x p an d (3 y d x + 6 d x - x d y = 0) \frac{1}{x d y}

e x p an d W (x - 3, x + 3)

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

e x p an d \frac{( 6 x + 1 ) ( x + 1 )}{2 x ( 2 x + 1 )}

e x p an d sin (3 (t - π))