vereinfachen (6-10x^2-5x^3)-(11x^3+14x^2-3x^5)

Lösung

vereinfachen

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

3 x^{5} - 16 x^{3} - 24 x^{2} + 6

Schritte zur Lösung

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

Apply rule:

(a) = a

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

= 6 - 10 x^{2} - 5 x^{3} - (11 x^{3} + 14 x^{2} - 3 x^{5})

Wende das Distributivgesetz an:

- (a + b) = - a - b

- (11 x^{3} + 14 x^{2} - 3 x^{5}) = - 11 x^{3} - 14 x^{2} + 3 x^{5}

= 6 - 10 x^{2} - 5 x^{3} - 11 x^{3} - 14 x^{2} + 3 x^{5}

Addiere gleiche Elemente:

- 5 x^{3} - 11 x^{3} = - 16 x^{3}

= 6 - 10 x^{2} - 16 x^{3} - 14 x^{2} + 3 x^{5}

Fasse gleiche Terme zusammen

= 3 x^{5} - 16 x^{3} - 10 x^{2} - 14 x^{2} + 6

Addiere gleiche Elemente:

- 10 x^{2} - 14 x^{2} = - 24 x^{2}

= 3 x^{5} - 16 x^{3} - 24 x^{2} + 6

s im pl i f y 4 16 t^{16} p^{8}

s im pl i f y \frac{10 ab - 15 b ^{2}}{4 a ^{2} - 6 ab}

s im pl i f y (x^{3})^{- 4}

s im pl i f y \frac{sec ( x )}{tan ( x ) + cot ( x )}

s im pl i f y \frac{2}{4} + \frac{4}{10} + \frac{4}{20}