vereinfachen (4x^5-7x^3-9x^2+18)-(14x^5-8x^4+11x^2+x)

Lösung

vereinfachen

(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + 11 x^{2} + x)

- 10 x^{5} + 8 x^{4} - 7 x^{3} - 20 x^{2} - x + 18

Schritte zur Lösung

(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + 11 x^{2} + x)

Apply rule:

(a) = a

(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) = 4 x^{5} - 7 x^{3} - 9 x^{2} + 18

= 4 x^{5} - 7 x^{3} - 9 x^{2} + 18 - (14 x^{5} - 8 x^{4} + 11 x^{2} + x)

Wende das Distributivgesetz an:

- (a - b) = - a + b

- (14 x^{5} - 8 x^{4} + 11 x^{2} + x) = - 14 x^{5} + 8 x^{4} - 11 x^{2} - x

= 4 x^{5} - 7 x^{3} - 9 x^{2} + 18 - 14 x^{5} + 8 x^{4} - 11 x^{2} - x

Fasse gleiche Terme zusammen

= 4 x^{5} - 14 x^{5} + 8 x^{4} - 7 x^{3} - 9 x^{2} - 11 x^{2} - x + 18

Addiere gleiche Elemente:

4 x^{5} - 14 x^{5} = - 10 x^{5}

= - 10 x^{5} + 8 x^{4} - 7 x^{3} - 9 x^{2} - 11 x^{2} - x + 18

Addiere gleiche Elemente:

- 9 x^{2} - 11 x^{2} = - 20 x^{2}

= - 10 x^{5} + 8 x^{4} - 7 x^{3} - 20 x^{2} - x + 18

f a c t or 5 x^{2} - 6 x

s im pl i f y - 3 a + 4 b - 6 a + 81 b - 114 b + 31 a - a - b

e x p an d (x^{a + 1} + y^{x - 2})^{2}

\frac{17}{9}

s im pl i f y 4 + (- 5)