erweitern (\sqrt[3]{x}-\sqrt[3]{m})^3

Lösung

erweitern

(3 x - 3 m)^{3}

x - 3 (3 x)^{2} 3 m + 3 (3 m)^{2} 3 x - m

Schritte zur Lösung

(3 x - 3 m)^{3}

Wende Formel für perfekte dritte Potenzen an:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(3 x - 3 m)^{3} = (3 x)^{3} - 3 (3 x)^{2} 3 m + 3 3 x (3 m)^{2} - (3 m)^{3}

= (3 x)^{3} - 3 (3 x)^{2} 3 m + 3 3 x (3 m)^{2} - (3 m)^{3}

Vereinfache

(3 x)^{3} - 3 (3 x)^{2} 3 m + 3 3 x (3 m)^{2} - (3 m)^{3} : x - 3 (3 x)^{2} 3 m + 3 (3 m)^{2} 3 x - m

= x - 3 (3 x)^{2} 3 m + 3 (3 m)^{2} 3 x - m

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

e x p an d F (0, - 2)

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

e x p an d 4 (\frac{3}{4} x + y = - 3)

e x p an d \frac{34 - 17 s}{( 2 s - 1 ) ( s ^{2} - 2 s + 5 )}