vereinfachen (x^3-\sqrt[3]{x})^2

Lösung

vereinfachen

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

x^{6} - 2 x^{3} 3 x + (3 x)^{2}

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(x^{3})^{2} : x^{6}

= x^{6} - 2 x^{3} 3 x + (3 x)^{2}

e x p an d \frac{- 3 + 6 a + 36 a ^{2} - 20 a + 1}{2 ( 1 - 2 a )}

e x p an d \frac{( 1 + 2 x ) ^{2}}{1 - 2 x + 4 x ^{2}}

e x p an d G (1, - 1) H (- 3, 3) L (3, 3)

e x p an d lo g_{b} (4) x^{2} y

e x p an d \frac{6 ( π ^{2} + 1 ) 2 π ^{2} - 3}{12 π}