erweitern (z^2+pi^2)^2

Lösung

erweitern

(z^{2} + π^{2})^{2}

z^{4} + 2 π^{2} z^{2} + π^{4}

Schritte zur Lösung

(z^{2} + π^{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

a = z^{2}, b = π^{2}

= (z^{2})^{2} + 2 z^{2} π^{2} + (π^{2})^{2}

Vereinfache

(z^{2})^{2} + 2 z^{2} π^{2} + (π^{2})^{2} : z^{4} + 2 π^{2} z^{2} + π^{4}

= z^{4} + 2 π^{2} z^{2} + π^{4}

e x p an d \frac{e ^{x} ( x - 3 )}{x ^{4}}

e x p an d (4 E (x, y) x - 5 E (x, y) y = 14.17) x - 2

e x p an d \frac{2 x + 2 sin ( 2 x ) ( x ^{2} + 1 )}{cos ( 2 x )}

e x p an d \frac{( x ^{2} - 3 x - 4 b - 12 )}{x ( x + b )}

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