vereinfachen (sqrt(6-3x^3)+6)^2

Lösung

vereinfachen

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

- 3 x^{3} + 12 6 - 3 x^{3} + 42

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(6 - 3 x^{3})^{2} + 2 6 - 3 x^{3} \cdot 6 + 6^{2} : - 3 x^{3} + 12 6 - 3 x^{3} + 42

= - 3 x^{3} + 12 6 - 3 x^{3} + 42

e x p an d (- 2 sin (x) + 1) (sin (x) + 1)

e x p an d 34 (- 2 - 36)

\frac{\partial}{\partial x} ((z) ((4 x + 3 y)^{2}))

e x p an d 11 (2 - 7)

e x p an d A B (B^{^{'}} + C) + A C