vereinfachen (\sqrt[3]{x}-2)(x^{2/3}+2\sqrt[3]{x}+4)

Lösung

vereinfachen

(3 x - 2) (x^{\frac{2}{3}} + 2 3 x + 4)

- 2 x^{\frac{2}{3}} + x + 2 (3 x)^{2} - 8

Schritte zur Lösung

(3 x - 2) (x^{\frac{2}{3}} + 2 3 x + 4)

Setze Klammern

= 3 x x^{\frac{2}{3}} + 3 x \cdot 2 3 x + 3 x \cdot 4 - 2 x^{\frac{2}{3}} - 2 \cdot 2 3 x - 2 \cdot 4

Vereinfache

3 x x^{\frac{2}{3}} + 3 x \cdot 2 3 x + 3 x \cdot 4 - 2 x^{\frac{2}{3}} - 2 \cdot 2 3 x - 2 \cdot 4 : - 2 x^{\frac{2}{3}} + x + 2 (3 x)^{2} - 8

= - 2 x^{\frac{2}{3}} + x + 2 (3 x)^{2} - 8

e x p an d \frac{4 h ^{2}}{( 12 h ^{2} - 8 h + 1 ) ( 3 h + 1 )}

e x p an d lo g_{10} (3) (x^{2} - 1)

e x p an d \frac{e ^{- 7 x} - 2 x + 6}{( x - 3 ) ( x - 1 )}

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

s im pl i f y \frac{1}{3} cos^{4} (t) + sin (t) (sin (t) - \frac{sin ^{3} ( t )}{3})