vereinfachen-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)

Lösung

vereinfachen

- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)

- 7 x^{4} + 16 x^{3} - 22 x

Schritte zur Lösung

- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)

Wende das Distributivgesetz an:

- (a + b) = - a - b

- (5 x^{4} + 10 x) = - 5 x^{4} - 10 x

= - 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - 5 x^{4} - 10 x

Schreibe

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

um:

- 2 x^{4} + 12 x^{3} - 12 x

= - 2 x^{4} + 12 x^{3} - 12 x + 4 x^{3} - 5 x^{4} - 10 x

Fasse gleiche Terme zusammen

= - 2 x^{4} - 5 x^{4} + 12 x^{3} + 4 x^{3} - 12 x - 10 x

Addiere gleiche Elemente:

- 2 x^{4} - 5 x^{4} = - 7 x^{4}

= - 7 x^{4} + 12 x^{3} + 4 x^{3} - 12 x - 10 x

Addiere gleiche Elemente:

12 x^{3} + 4 x^{3} = 16 x^{3}

= - 7 x^{4} + 16 x^{3} - 12 x - 10 x

Addiere gleiche Elemente:

- 12 x - 10 x = - 22 x

= - 7 x^{4} + 16 x^{3} - 22 x

e x p an d - mn p (3 m - 5 n + 7 p)

f a c t or 4 x^{3} + 2 x^{2} - 14 x + 3

s im pl i f y (4 - x^{2})^{2} - (x + 2)^{2}

s im pl i f y \frac{20}{20}

s im pl i f y (\frac{3}{2} - \frac{i}{2})^{100}