vereinfachen (-7x^4+2x-3x^2+x^3)-(5-2x^3+7x+2x^2-5)

Lösung

vereinfachen

(- 7 x^{4} + 2 x - 3 x^{2} + x^{3}) - (5 - 2 x^{3} + 7 x + 2 x^{2} - 5)

- 7 x^{4} + 3 x^{3} - 5 x^{2} - 5 x

Schritte zur Lösung

(- 7 x^{4} + 2 x - 3 x^{2} + x^{3}) - (5 - 2 x^{3} + 7 x + 2 x^{2} - 5)

Apply rule:

(a) = a

(- 7 x^{4} + 2 x - 3 x^{2} + x^{3}) = - 7 x^{4} + 2 x - 3 x^{2} + x^{3}

= - 7 x^{4} + 2 x - 3 x^{2} + x^{3} - (5 - 2 x^{3} + 7 x + 2 x^{2} - 5)

Vereinfache

- (5 - 2 x^{3} + 7 x + 2 x^{2} - 5) : 2 x^{3} - 2 x^{2} - 7 x

= - 7 x^{4} + 2 x - 3 x^{2} + x^{3} + 2 x^{3} - 2 x^{2} - 7 x

Addiere gleiche Elemente:

x^{3} + 2 x^{3} = 3 x^{3}

= - 7 x^{4} + 2 x - 3 x^{2} + 3 x^{3} - 2 x^{2} - 7 x

Fasse gleiche Terme zusammen

= - 7 x^{4} + 3 x^{3} - 3 x^{2} - 2 x^{2} + 2 x - 7 x

Addiere gleiche Elemente:

- 3 x^{2} - 2 x^{2} = - 5 x^{2}

= - 7 x^{4} + 3 x^{3} - 5 x^{2} + 2 x - 7 x

Addiere gleiche Elemente:

2 x - 7 x = - 5 x

= - 7 x^{4} + 3 x^{3} - 5 x^{2} - 5 x

s im pl i f y 4 \times (- 4)

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

s im pl i f y \frac{x}{x ^{6}}

s im pl i f y (- \frac{3}{2})^{4}

s im pl i f y (x^{3}) (x^{2})