erweitern z(a(z^2-a^2))

Lösung

erweitern

z (a (z^{2} - a^{2}))

a z^{3} - a^{3} z

Schritte zur Lösung

z (a (z^{2} - a^{2}))

Entferne die Klammern:

(a) = a

= z a (z^{2} - a^{2})

= a z (z^{2} - a^{2})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = z a, b = z^{2}, c = a^{2}

= z a z^{2} - z a a^{2}

= a z^{2} z - a^{2} a z

Vereinfache

a z^{2} z - a^{2} a z : a z^{3} - a^{3} z

= a z^{3} - a^{3} z

e x p an d \frac{( x - 3 )}{x ^{2} ( x - 5 )}

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

e x p an d y^{'} (x) (x)^{2} - (3 y^{2} + cos (x) y^{'} (x) + 3 y^{2} cos (x) = 0)

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

\frac{d}{d x} ((z (x)) (6 x - 3 x^{2}))